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Finding the Third Proportional to 62.78 and 101.84

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Solution

The third proportional to 62.78 and 101.84 is: 165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.78 : 101.84 = 101.84 : x
  2. Step 2: Convert to fraction form
    62.78/101.84 = 101.84/x
  3. Step 3: Cross multiply
    62.78x = 101.84 × 101.84
  4. Step 4: Simplify right side
    62.78x = 10,372.15
  5. Step 5: Solve for x
    x = 10,372.15/62.78
  6. Step 6: Final answer
    x = 165.21

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.