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Finding the Third Proportional to 402,632.25 and 868,310.25

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Solution

The third proportional to 402,632.25 and 868,310.25 is: 1,872,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,632.25 : 868,310.25 = 868,310.25 : x
  2. Step 2: Convert to fraction form
    402,632.25/868,310.25 = 868,310.25/x
  3. Step 3: Cross multiply
    402,632.25x = 868,310.25 × 868,310.25
  4. Step 4: Simplify right side
    402,632.25x = 753,962,690,255.06
  5. Step 5: Solve for x
    x = 753,962,690,255.06/402,632.25
  6. Step 6: Final answer
    x = 1,872,583.95

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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.