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Finding the Third Proportional to 45.65 and 66.88

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Solution

The third proportional to 45.65 and 66.88 is: 97.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.65 : 66.88 = 66.88 : x
  2. Step 2: Convert to fraction form
    45.65/66.88 = 66.88/x
  3. Step 3: Cross multiply
    45.65x = 66.88 × 66.88
  4. Step 4: Simplify right side
    45.65x = 4,472.32
  5. Step 5: Solve for x
    x = 4,472.32/45.65
  6. Step 6: Final answer
    x = 97.97

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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.