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Finding the Third Proportional to 616,325 and 865,375

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Solution

The third proportional to 616,325 and 865,375 is: 1,215,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,325 : 865,375 = 865,375 : x
  2. Step 2: Convert to fraction form
    616,325/865,375 = 865,375/x
  3. Step 3: Cross multiply
    616,325x = 865,375 × 865,375
  4. Step 4: Simplify right side
    616,325x = 748,873,890,625
  5. Step 5: Solve for x
    x = 748,873,890,625/616,325
  6. Step 6: Final answer
    x = 1,215,063.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.