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Finding the Third Proportional to 398,214 and 866,412

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Solution

The third proportional to 398,214 and 866,412 is: 1,885,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,214 : 866,412 = 866,412 : x
  2. Step 2: Convert to fraction form
    398,214/866,412 = 866,412/x
  3. Step 3: Cross multiply
    398,214x = 866,412 × 866,412
  4. Step 4: Simplify right side
    398,214x = 750,669,753,744
  5. Step 5: Solve for x
    x = 750,669,753,744/398,214
  6. Step 6: Final answer
    x = 1,885,091.32

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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.