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Finding the Third Proportional to 408,279 and 875,580

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Solution

The third proportional to 408,279 and 875,580 is: 1,877,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,279 : 875,580 = 875,580 : x
  2. Step 2: Convert to fraction form
    408,279/875,580 = 875,580/x
  3. Step 3: Cross multiply
    408,279x = 875,580 × 875,580
  4. Step 4: Simplify right side
    408,279x = 766,640,336,400
  5. Step 5: Solve for x
    x = 766,640,336,400/408,279
  6. Step 6: Final answer
    x = 1,877,736.39

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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.