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Finding the Third Proportional to 62.98 and 85.14

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Solution

The third proportional to 62.98 and 85.14 is: 115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.98 : 85.14 = 85.14 : x
  2. Step 2: Convert to fraction form
    62.98/85.14 = 85.14/x
  3. Step 3: Cross multiply
    62.98x = 85.14 × 85.14
  4. Step 4: Simplify right side
    62.98x = 7,248.76
  5. Step 5: Solve for x
    x = 7,248.76/62.98
  6. Step 6: Final answer
    x = 115.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.