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Finding the Third Proportional to 438,320,406 and 658,057,167

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Solution

The third proportional to 438,320,406 and 658,057,167 is: 987,951,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,320,406 : 658,057,167 = 658,057,167 : x
  2. Step 2: Convert to fraction form
    438,320,406/658,057,167 = 658,057,167/x
  3. Step 3: Cross multiply
    438,320,406x = 658,057,167 × 658,057,167
  4. Step 4: Simplify right side
    438,320,406x = 433,039,235,040,065,920
  5. Step 5: Solve for x
    x = 433,039,235,040,065,920/438,320,406
  6. Step 6: Final answer
    x = 987,951,345.89

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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.