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Finding the Third Proportional to 402,582 and 868,214

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Solution

The third proportional to 402,582 and 868,214 is: 1,872,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,582 : 868,214 = 868,214 : x
  2. Step 2: Convert to fraction form
    402,582/868,214 = 868,214/x
  3. Step 3: Cross multiply
    402,582x = 868,214 × 868,214
  4. Step 4: Simplify right side
    402,582x = 753,795,549,796
  5. Step 5: Solve for x
    x = 753,795,549,796/402,582
  6. Step 6: Final answer
    x = 1,872,402.52

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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.