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Finding the Third Proportional to 63.60 and 101.09

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Solution

The third proportional to 63.60 and 101.09 is: 160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.60 : 101.09 = 101.09 : x
  2. Step 2: Convert to fraction form
    63.60/101.09 = 101.09/x
  3. Step 3: Cross multiply
    63.60x = 101.09 × 101.09
  4. Step 4: Simplify right side
    63.60x = 10,219.55
  5. Step 5: Solve for x
    x = 10,219.55/63.60
  6. Step 6: Final answer
    x = 160.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.