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Finding the Third Proportional to 63.83 and 85.14

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Solution

The third proportional to 63.83 and 85.14 is: 113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.83 : 85.14 = 85.14 : x
  2. Step 2: Convert to fraction form
    63.83/85.14 = 85.14/x
  3. Step 3: Cross multiply
    63.83x = 85.14 × 85.14
  4. Step 4: Simplify right side
    63.83x = 7,248.76
  5. Step 5: Solve for x
    x = 7,248.76/63.83
  6. Step 6: Final answer
    x = 113.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.