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Finding the Third Proportional to 408,260 and 875,542

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Solution

The third proportional to 408,260 and 875,542 is: 1,877,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,260 : 875,542 = 875,542 : x
  2. Step 2: Convert to fraction form
    408,260/875,542 = 875,542/x
  3. Step 3: Cross multiply
    408,260x = 875,542 × 875,542
  4. Step 4: Simplify right side
    408,260x = 766,573,793,764
  5. Step 5: Solve for x
    x = 766,573,793,764/408,260
  6. Step 6: Final answer
    x = 1,877,660.79

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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.