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Finding the Third Proportional to 402,443 and 852,849

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Solution

The third proportional to 402,443 and 852,849 is: 1,807,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,443 : 852,849 = 852,849 : x
  2. Step 2: Convert to fraction form
    402,443/852,849 = 852,849/x
  3. Step 3: Cross multiply
    402,443x = 852,849 × 852,849
  4. Step 4: Simplify right side
    402,443x = 727,351,416,801
  5. Step 5: Solve for x
    x = 727,351,416,801/402,443
  6. Step 6: Final answer
    x = 1,807,340.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.