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Finding the Third Proportional to 61.72 and 106.53

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Solution

The third proportional to 61.72 and 106.53 is: 183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.72 : 106.53 = 106.53 : x
  2. Step 2: Convert to fraction form
    61.72/106.53 = 106.53/x
  3. Step 3: Cross multiply
    61.72x = 106.53 × 106.53
  4. Step 4: Simplify right side
    61.72x = 11,349.65
  5. Step 5: Solve for x
    x = 11,349.65/61.72
  6. Step 6: Final answer
    x = 183.88

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.