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Finding the Third Proportional to 147.44 and 310.97

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Solution

The third proportional to 147.44 and 310.97 is: 655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.44 : 310.97 = 310.97 : x
  2. Step 2: Convert to fraction form
    147.44/310.97 = 310.97/x
  3. Step 3: Cross multiply
    147.44x = 310.97 × 310.97
  4. Step 4: Simplify right side
    147.44x = 96,701.56
  5. Step 5: Solve for x
    x = 96,701.56/147.44
  6. Step 6: Final answer
    x = 655.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.