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Finding the Third Proportional to 521,008.31 and 779,325.19

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Solution

The third proportional to 521,008.31 and 779,325.19 is: 1,165,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,008.31 : 779,325.19 = 779,325.19 : x
  2. Step 2: Convert to fraction form
    521,008.31/779,325.19 = 779,325.19/x
  3. Step 3: Cross multiply
    521,008.31x = 779,325.19 × 779,325.19
  4. Step 4: Simplify right side
    521,008.31x = 607,347,747,871.91
  5. Step 5: Solve for x
    x = 607,347,747,871.91/521,008.31
  6. Step 6: Final answer
    x = 1,165,716.04

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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.