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Finding the Third Proportional to 237.20 and 358.96

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Solution

The third proportional to 237.20 and 358.96 is: 543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.20 : 358.96 = 358.96 : x
  2. Step 2: Convert to fraction form
    237.20/358.96 = 358.96/x
  3. Step 3: Cross multiply
    237.20x = 358.96 × 358.96
  4. Step 4: Simplify right side
    237.20x = 128,854.36
  5. Step 5: Solve for x
    x = 128,854.36/237.20
  6. Step 6: Final answer
    x = 543.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.