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Finding the Third Proportional to 402,579 and 868,209

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Solution

The third proportional to 402,579 and 868,209 is: 1,872,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,579 : 868,209 = 868,209 : x
  2. Step 2: Convert to fraction form
    402,579/868,209 = 868,209/x
  3. Step 3: Cross multiply
    402,579x = 868,209 × 868,209
  4. Step 4: Simplify right side
    402,579x = 753,786,867,681
  5. Step 5: Solve for x
    x = 753,786,867,681/402,579
  6. Step 6: Final answer
    x = 1,872,394.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.