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Finding the Third Proportional to 402,544 and 822,566

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Solution

The third proportional to 402,544 and 822,566 is: 1,680,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,544 : 822,566 = 822,566 : x
  2. Step 2: Convert to fraction form
    402,544/822,566 = 822,566/x
  3. Step 3: Cross multiply
    402,544x = 822,566 × 822,566
  4. Step 4: Simplify right side
    402,544x = 676,614,824,356
  5. Step 5: Solve for x
    x = 676,614,824,356/402,544
  6. Step 6: Final answer
    x = 1,680,846.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.