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Finding the Third Proportional to 61.17 and 87.94

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Solution

The third proportional to 61.17 and 87.94 is: 126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.17 : 87.94 = 87.94 : x
  2. Step 2: Convert to fraction form
    61.17/87.94 = 87.94/x
  3. Step 3: Cross multiply
    61.17x = 87.94 × 87.94
  4. Step 4: Simplify right side
    61.17x = 7,733.00
  5. Step 5: Solve for x
    x = 7,733.00/61.17
  6. Step 6: Final answer
    x = 126.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.