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Finding the Third Proportional to 66.40 and 102.55

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Solution

The third proportional to 66.40 and 102.55 is: 158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.40 : 102.55 = 102.55 : x
  2. Step 2: Convert to fraction form
    66.40/102.55 = 102.55/x
  3. Step 3: Cross multiply
    66.40x = 102.55 × 102.55
  4. Step 4: Simplify right side
    66.40x = 10,516.66
  5. Step 5: Solve for x
    x = 10,516.66/66.40
  6. Step 6: Final answer
    x = 158.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.