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Finding the Third Proportional to 266,517.28 and 577,321.31

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Solution

The third proportional to 266,517.28 and 577,321.31 is: 1,250,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,517.28 : 577,321.31 = 577,321.31 : x
  2. Step 2: Convert to fraction form
    266,517.28/577,321.31 = 577,321.31/x
  3. Step 3: Cross multiply
    266,517.28x = 577,321.31 × 577,321.31
  4. Step 4: Simplify right side
    266,517.28x = 333,299,897,866.72
  5. Step 5: Solve for x
    x = 333,299,897,866.72/266,517.28
  6. Step 6: Final answer
    x = 1,250,575.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.