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Finding the Third Proportional to 167.43 and 358.91

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Solution

The third proportional to 167.43 and 358.91 is: 769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.43 : 358.91 = 358.91 : x
  2. Step 2: Convert to fraction form
    167.43/358.91 = 358.91/x
  3. Step 3: Cross multiply
    167.43x = 358.91 × 358.91
  4. Step 4: Simplify right side
    167.43x = 128,816.50
  5. Step 5: Solve for x
    x = 128,816.50/167.43
  6. Step 6: Final answer
    x = 769.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.