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Finding the Third Proportional to 415,415,404 and 657,799,728

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Solution

The third proportional to 415,415,404 and 657,799,728 is: 1,041,609,141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,415,404 : 657,799,728 = 657,799,728 : x
  2. Step 2: Convert to fraction form
    415,415,404/657,799,728 = 657,799,728/x
  3. Step 3: Cross multiply
    415,415,404x = 657,799,728 × 657,799,728
  4. Step 4: Simplify right side
    415,415,404x = 432,700,482,156,873,984
  5. Step 5: Solve for x
    x = 432,700,482,156,873,984/415,415,404
  6. Step 6: Final answer
    x = 1,041,609,141.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.