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Finding the Third Proportional to 402,606 and 822,684

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Solution

The third proportional to 402,606 and 822,684 is: 1,681,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,606 : 822,684 = 822,684 : x
  2. Step 2: Convert to fraction form
    402,606/822,684 = 822,684/x
  3. Step 3: Cross multiply
    402,606x = 822,684 × 822,684
  4. Step 4: Simplify right side
    402,606x = 676,808,963,856
  5. Step 5: Solve for x
    x = 676,808,963,856/402,606
  6. Step 6: Final answer
    x = 1,681,070.24

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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.