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Finding the Third Proportional to 102,540 and 215,448

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Solution

The third proportional to 102,540 and 215,448 is: 452,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,540 : 215,448 = 215,448 : x
  2. Step 2: Convert to fraction form
    102,540/215,448 = 215,448/x
  3. Step 3: Cross multiply
    102,540x = 215,448 × 215,448
  4. Step 4: Simplify right side
    102,540x = 46,417,840,704
  5. Step 5: Solve for x
    x = 46,417,840,704/102,540
  6. Step 6: Final answer
    x = 452,680.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.