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Finding the Third Proportional to 402,604 and 822,680

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Solution

The third proportional to 402,604 and 822,680 is: 1,681,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,604 : 822,680 = 822,680 : x
  2. Step 2: Convert to fraction form
    402,604/822,680 = 822,680/x
  3. Step 3: Cross multiply
    402,604x = 822,680 × 822,680
  4. Step 4: Simplify right side
    402,604x = 676,802,382,400
  5. Step 5: Solve for x
    x = 676,802,382,400/402,604
  6. Step 6: Final answer
    x = 1,681,062.24

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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.