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Finding the Third Proportional to 322,841,138,031 and 693,592,940,191.50

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Solution

The third proportional to 322,841,138,031 and 693,592,940,191.50 is: 1,490,117,305,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,841,138,031 : 693,592,940,191.50 = 693,592,940,191.50 : x
  2. Step 2: Convert to fraction form
    322,841,138,031/693,592,940,191.50 = 693,592,940,191.50/x
  3. Step 3: Cross multiply
    322,841,138,031x = 693,592,940,191.50 × 693,592,940,191.50
  4. Step 4: Simplify right side
    322,841,138,031x = 481,071,166,683,489,685,733,376
  5. Step 5: Solve for x
    x = 481,071,166,683,489,685,733,376/322,841,138,031
  6. Step 6: Final answer
    x = 1,490,117,305,426.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.