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Finding the Third Proportional to 158.48 and 340.55

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Solution

The third proportional to 158.48 and 340.55 is: 731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.48 : 340.55 = 340.55 : x
  2. Step 2: Convert to fraction form
    158.48/340.55 = 340.55/x
  3. Step 3: Cross multiply
    158.48x = 340.55 × 340.55
  4. Step 4: Simplify right side
    158.48x = 115,972.17
  5. Step 5: Solve for x
    x = 115,972.17/158.48
  6. Step 6: Final answer
    x = 731.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.