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Finding the Third Proportional to 398,123 and 866,229

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Solution

The third proportional to 398,123 and 866,229 is: 1,884,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,123 : 866,229 = 866,229 : x
  2. Step 2: Convert to fraction form
    398,123/866,229 = 866,229/x
  3. Step 3: Cross multiply
    398,123x = 866,229 × 866,229
  4. Step 4: Simplify right side
    398,123x = 750,352,680,441
  5. Step 5: Solve for x
    x = 750,352,680,441/398,123
  6. Step 6: Final answer
    x = 1,884,725.78

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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.