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Finding the Third Proportional to 151.88 and 329.70

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Solution

The third proportional to 151.88 and 329.70 is: 715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.88 : 329.70 = 329.70 : x
  2. Step 2: Convert to fraction form
    151.88/329.70 = 329.70/x
  3. Step 3: Cross multiply
    151.88x = 329.70 × 329.70
  4. Step 4: Simplify right side
    151.88x = 108,699.00
  5. Step 5: Solve for x
    x = 108,699.00/151.88
  6. Step 6: Final answer
    x = 715.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.