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Finding the Third Proportional to 402,636 and 868,319

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Solution

The third proportional to 402,636 and 868,319 is: 1,872,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,636 : 868,319 = 868,319 : x
  2. Step 2: Convert to fraction form
    402,636/868,319 = 868,319/x
  3. Step 3: Cross multiply
    402,636x = 868,319 × 868,319
  4. Step 4: Simplify right side
    402,636x = 753,977,885,761
  5. Step 5: Solve for x
    x = 753,977,885,761/402,636
  6. Step 6: Final answer
    x = 1,872,604.25

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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.