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Finding the Third Proportional to 398,831 and 875,154

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Solution

The third proportional to 398,831 and 875,154 is: 1,920,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,831 : 875,154 = 875,154 : x
  2. Step 2: Convert to fraction form
    398,831/875,154 = 875,154/x
  3. Step 3: Cross multiply
    398,831x = 875,154 × 875,154
  4. Step 4: Simplify right side
    398,831x = 765,894,523,716
  5. Step 5: Solve for x
    x = 765,894,523,716/398,831
  6. Step 6: Final answer
    x = 1,920,348.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.