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Finding the Third Proportional to 28.31 and 66.56

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Solution

The third proportional to 28.31 and 66.56 is: 156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.31 : 66.56 = 66.56 : x
  2. Step 2: Convert to fraction form
    28.31/66.56 = 66.56/x
  3. Step 3: Cross multiply
    28.31x = 66.56 × 66.56
  4. Step 4: Simplify right side
    28.31x = 4,430.57
  5. Step 5: Solve for x
    x = 4,430.57/28.31
  6. Step 6: Final answer
    x = 156.49

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.