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Finding the Third Proportional to 398,909 and 864,281

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Solution

The third proportional to 398,909 and 864,281 is: 1,872,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,909 : 864,281 = 864,281 : x
  2. Step 2: Convert to fraction form
    398,909/864,281 = 864,281/x
  3. Step 3: Cross multiply
    398,909x = 864,281 × 864,281
  4. Step 4: Simplify right side
    398,909x = 746,981,646,961
  5. Step 5: Solve for x
    x = 746,981,646,961/398,909
  6. Step 6: Final answer
    x = 1,872,561.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.