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Finding the Third Proportional to 402,540 and 868,138

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Solution

The third proportional to 402,540 and 868,138 is: 1,872,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,540 : 868,138 = 868,138 : x
  2. Step 2: Convert to fraction form
    402,540/868,138 = 868,138/x
  3. Step 3: Cross multiply
    402,540x = 868,138 × 868,138
  4. Step 4: Simplify right side
    402,540x = 753,663,587,044
  5. Step 5: Solve for x
    x = 753,663,587,044/402,540
  6. Step 6: Final answer
    x = 1,872,270.05

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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.