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Finding the Third Proportional to 61.45 and 87.12

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Solution

The third proportional to 61.45 and 87.12 is: 123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.45 : 87.12 = 87.12 : x
  2. Step 2: Convert to fraction form
    61.45/87.12 = 87.12/x
  3. Step 3: Cross multiply
    61.45x = 87.12 × 87.12
  4. Step 4: Simplify right side
    61.45x = 7,589.40
  5. Step 5: Solve for x
    x = 7,589.40/61.45
  6. Step 6: Final answer
    x = 123.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.