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Finding the Third Proportional to 242.81 and 571.31

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Solution

The third proportional to 242.81 and 571.31 is: 1,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.81 : 571.31 = 571.31 : x
  2. Step 2: Convert to fraction form
    242.81/571.31 = 571.31/x
  3. Step 3: Cross multiply
    242.81x = 571.31 × 571.31
  4. Step 4: Simplify right side
    242.81x = 326,397.97
  5. Step 5: Solve for x
    x = 326,397.97/242.81
  6. Step 6: Final answer
    x = 1,344.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.