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Finding the Third Proportional to 398,132 and 866,248

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Solution

The third proportional to 398,132 and 866,248 is: 1,884,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,132 : 866,248 = 866,248 : x
  2. Step 2: Convert to fraction form
    398,132/866,248 = 866,248/x
  3. Step 3: Cross multiply
    398,132x = 866,248 × 866,248
  4. Step 4: Simplify right side
    398,132x = 750,385,597,504
  5. Step 5: Solve for x
    x = 750,385,597,504/398,132
  6. Step 6: Final answer
    x = 1,884,765.85

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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.