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Finding the Third Proportional to 62.63 and 129.31

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Solution

The third proportional to 62.63 and 129.31 is: 267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.63 : 129.31 = 129.31 : x
  2. Step 2: Convert to fraction form
    62.63/129.31 = 129.31/x
  3. Step 3: Cross multiply
    62.63x = 129.31 × 129.31
  4. Step 4: Simplify right side
    62.63x = 16,721.72
  5. Step 5: Solve for x
    x = 16,721.72/62.63
  6. Step 6: Final answer
    x = 267.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.