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Finding the Third Proportional to 134.31 and 207.40

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Solution

The third proportional to 134.31 and 207.40 is: 320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.31 : 207.40 = 207.40 : x
  2. Step 2: Convert to fraction form
    134.31/207.40 = 207.40/x
  3. Step 3: Cross multiply
    134.31x = 207.40 × 207.40
  4. Step 4: Simplify right side
    134.31x = 43,016.54
  5. Step 5: Solve for x
    x = 43,016.54/134.31
  6. Step 6: Final answer
    x = 320.27

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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.