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Finding the Third Proportional to 642,024 and 961,031

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Solution

The third proportional to 642,024 and 961,031 is: 1,438,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,024 : 961,031 = 961,031 : x
  2. Step 2: Convert to fraction form
    642,024/961,031 = 961,031/x
  3. Step 3: Cross multiply
    642,024x = 961,031 × 961,031
  4. Step 4: Simplify right side
    642,024x = 923,580,582,961
  5. Step 5: Solve for x
    x = 923,580,582,961/642,024
  6. Step 6: Final answer
    x = 1,438,545.26

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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.