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Finding the Third Proportional to 62.65 and 91.65

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Solution

The third proportional to 62.65 and 91.65 is: 134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.65 : 91.65 = 91.65 : x
  2. Step 2: Convert to fraction form
    62.65/91.65 = 91.65/x
  3. Step 3: Cross multiply
    62.65x = 91.65 × 91.65
  4. Step 4: Simplify right side
    62.65x = 8,400.15
  5. Step 5: Solve for x
    x = 8,400.15/62.65
  6. Step 6: Final answer
    x = 134.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.