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Finding the Third Proportional to 61.17 and 86.98

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Solution

The third proportional to 61.17 and 86.98 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.17 : 86.98 = 86.98 : x
  2. Step 2: Convert to fraction form
    61.17/86.98 = 86.98/x
  3. Step 3: Cross multiply
    61.17x = 86.98 × 86.98
  4. Step 4: Simplify right side
    61.17x = 7,564.92
  5. Step 5: Solve for x
    x = 7,564.92/61.17
  6. Step 6: Final answer
    x = 123.67

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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.