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Finding the Third Proportional to 172,332.25 and 378,680.50

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Solution

The third proportional to 172,332.25 and 378,680.50 is: 832,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,332.25 : 378,680.50 = 378,680.50 : x
  2. Step 2: Convert to fraction form
    172,332.25/378,680.50 = 378,680.50/x
  3. Step 3: Cross multiply
    172,332.25x = 378,680.50 × 378,680.50
  4. Step 4: Simplify right side
    172,332.25x = 143,398,921,080.25
  5. Step 5: Solve for x
    x = 143,398,921,080.25/172,332.25
  6. Step 6: Final answer
    x = 832,107.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.