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Finding the Third Proportional to 62.81 and 72.94

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Solution

The third proportional to 62.81 and 72.94 is: 84.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.81 : 72.94 = 72.94 : x
  2. Step 2: Convert to fraction form
    62.81/72.94 = 72.94/x
  3. Step 3: Cross multiply
    62.81x = 72.94 × 72.94
  4. Step 4: Simplify right side
    62.81x = 5,319.88
  5. Step 5: Solve for x
    x = 5,319.88/62.81
  6. Step 6: Final answer
    x = 84.69

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.