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Finding the Third Proportional to 438,320,676 and 658,057,554

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Solution

The third proportional to 438,320,676 and 658,057,554 is: 987,951,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,320,676 : 658,057,554 = 658,057,554 : x
  2. Step 2: Convert to fraction form
    438,320,676/658,057,554 = 658,057,554/x
  3. Step 3: Cross multiply
    438,320,676x = 658,057,554 × 658,057,554
  4. Step 4: Simplify right side
    438,320,676x = 433,039,744,376,462,912
  5. Step 5: Solve for x
    x = 433,039,744,376,462,912/438,320,676
  6. Step 6: Final answer
    x = 987,951,899.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.