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Finding the Third Proportional to 502.13 and 772.13

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Solution

The third proportional to 502.13 and 772.13 is: 1,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.13 : 772.13 = 772.13 : x
  2. Step 2: Convert to fraction form
    502.13/772.13 = 772.13/x
  3. Step 3: Cross multiply
    502.13x = 772.13 × 772.13
  4. Step 4: Simplify right side
    502.13x = 596,177.02
  5. Step 5: Solve for x
    x = 596,177.02/502.13
  6. Step 6: Final answer
    x = 1,187.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.