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Finding the Third Proportional to 147.60 and 207.40

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Solution

The third proportional to 147.60 and 207.40 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.60 : 207.40 = 207.40 : x
  2. Step 2: Convert to fraction form
    147.60/207.40 = 207.40/x
  3. Step 3: Cross multiply
    147.60x = 207.40 × 207.40
  4. Step 4: Simplify right side
    147.60x = 43,016.54
  5. Step 5: Solve for x
    x = 43,016.54/147.60
  6. Step 6: Final answer
    x = 291.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.