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Finding the Third Proportional to 408,471 and 888,931

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Solution

The third proportional to 408,471 and 888,931 is: 1,934,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,471 : 888,931 = 888,931 : x
  2. Step 2: Convert to fraction form
    408,471/888,931 = 888,931/x
  3. Step 3: Cross multiply
    408,471x = 888,931 × 888,931
  4. Step 4: Simplify right side
    408,471x = 790,198,322,761
  5. Step 5: Solve for x
    x = 790,198,322,761/408,471
  6. Step 6: Final answer
    x = 1,934,527.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.