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Finding the Third Proportional to 160,220.25 and 341,149.50

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Solution

The third proportional to 160,220.25 and 341,149.50 is: 726,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,220.25 : 341,149.50 = 341,149.50 : x
  2. Step 2: Convert to fraction form
    160,220.25/341,149.50 = 341,149.50/x
  3. Step 3: Cross multiply
    160,220.25x = 341,149.50 × 341,149.50
  4. Step 4: Simplify right side
    160,220.25x = 116,382,981,350.25
  5. Step 5: Solve for x
    x = 116,382,981,350.25/160,220.25
  6. Step 6: Final answer
    x = 726,393.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.