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Finding the Third Proportional to 431,789,508 and 663,276,222

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Solution

The third proportional to 431,789,508 and 663,276,222 is: 1,018,865,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,789,508 : 663,276,222 = 663,276,222 : x
  2. Step 2: Convert to fraction form
    431,789,508/663,276,222 = 663,276,222/x
  3. Step 3: Cross multiply
    431,789,508x = 663,276,222 × 663,276,222
  4. Step 4: Simplify right side
    431,789,508x = 439,935,346,670,593,280
  5. Step 5: Solve for x
    x = 439,935,346,670,593,280/431,789,508
  6. Step 6: Final answer
    x = 1,018,865,300.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.