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Finding the Third Proportional to 61.70 and 94.18

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Solution

The third proportional to 61.70 and 94.18 is: 143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.70 : 94.18 = 94.18 : x
  2. Step 2: Convert to fraction form
    61.70/94.18 = 94.18/x
  3. Step 3: Cross multiply
    61.70x = 94.18 × 94.18
  4. Step 4: Simplify right side
    61.70x = 8,870.55
  5. Step 5: Solve for x
    x = 8,870.55/61.70
  6. Step 6: Final answer
    x = 143.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.