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Finding the Third Proportional to 402,581 and 868,213

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Solution

The third proportional to 402,581 and 868,213 is: 1,872,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,581 : 868,213 = 868,213 : x
  2. Step 2: Convert to fraction form
    402,581/868,213 = 868,213/x
  3. Step 3: Cross multiply
    402,581x = 868,213 × 868,213
  4. Step 4: Simplify right side
    402,581x = 753,793,813,369
  5. Step 5: Solve for x
    x = 753,793,813,369/402,581
  6. Step 6: Final answer
    x = 1,872,402.85

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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.