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Finding the Third Proportional to 61.70 and 83.85

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Solution

The third proportional to 61.70 and 83.85 is: 113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.70 : 83.85 = 83.85 : x
  2. Step 2: Convert to fraction form
    61.70/83.85 = 83.85/x
  3. Step 3: Cross multiply
    61.70x = 83.85 × 83.85
  4. Step 4: Simplify right side
    61.70x = 7,030.43
  5. Step 5: Solve for x
    x = 7,030.43/61.70
  6. Step 6: Final answer
    x = 113.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.