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Finding the Third Proportional to 402,525.38 and 868,105.75

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Solution

The third proportional to 402,525.38 and 868,105.75 is: 1,872,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,525.38 : 868,105.75 = 868,105.75 : x
  2. Step 2: Convert to fraction form
    402,525.38/868,105.75 = 868,105.75/x
  3. Step 3: Cross multiply
    402,525.38x = 868,105.75 × 868,105.75
  4. Step 4: Simplify right side
    402,525.38x = 753,607,593,183.06
  5. Step 5: Solve for x
    x = 753,607,593,183.06/402,525.38
  6. Step 6: Final answer
    x = 1,872,198.97

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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.