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Finding the Third Proportional to 396,842 and 868,202

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Solution

The third proportional to 396,842 and 868,202 is: 1,899,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,842 : 868,202 = 868,202 : x
  2. Step 2: Convert to fraction form
    396,842/868,202 = 868,202/x
  3. Step 3: Cross multiply
    396,842x = 868,202 × 868,202
  4. Step 4: Simplify right side
    396,842x = 753,774,712,804
  5. Step 5: Solve for x
    x = 753,774,712,804/396,842
  6. Step 6: Final answer
    x = 1,899,432.80

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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.