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Finding the Third Proportional to 322,841,138,033 and 693,592,940,196

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Solution

The third proportional to 322,841,138,033 and 693,592,940,196 is: 1,490,117,305,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,841,138,033 : 693,592,940,196 = 693,592,940,196 : x
  2. Step 2: Convert to fraction form
    322,841,138,033/693,592,940,196 = 693,592,940,196/x
  3. Step 3: Cross multiply
    322,841,138,033x = 693,592,940,196 × 693,592,940,196
  4. Step 4: Simplify right side
    322,841,138,033x = 481,071,166,689,732,018,044,928
  5. Step 5: Solve for x
    x = 481,071,166,689,732,018,044,928/322,841,138,033
  6. Step 6: Final answer
    x = 1,490,117,305,436.33

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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.