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Finding the Third Proportional to 66.26 and 101.37

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Solution

The third proportional to 66.26 and 101.37 is: 155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.26 : 101.37 = 101.37 : x
  2. Step 2: Convert to fraction form
    66.26/101.37 = 101.37/x
  3. Step 3: Cross multiply
    66.26x = 101.37 × 101.37
  4. Step 4: Simplify right side
    66.26x = 10,275.31
  5. Step 5: Solve for x
    x = 10,275.31/66.26
  6. Step 6: Final answer
    x = 155.08

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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.