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Finding the Third Proportional to 55.69 and 61.59

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Solution

The third proportional to 55.69 and 61.59 is: 68.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.69 : 61.59 = 61.59 : x
  2. Step 2: Convert to fraction form
    55.69/61.59 = 61.59/x
  3. Step 3: Cross multiply
    55.69x = 61.59 × 61.59
  4. Step 4: Simplify right side
    55.69x = 3,793.79
  5. Step 5: Solve for x
    x = 3,793.79/55.69
  6. Step 6: Final answer
    x = 68.13

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.