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Finding the Third Proportional to 402,608 and 822,688

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Solution

The third proportional to 402,608 and 822,688 is: 1,681,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,608 : 822,688 = 822,688 : x
  2. Step 2: Convert to fraction form
    402,608/822,688 = 822,688/x
  3. Step 3: Cross multiply
    402,608x = 822,688 × 822,688
  4. Step 4: Simplify right side
    402,608x = 676,815,545,344
  5. Step 5: Solve for x
    x = 676,815,545,344/402,608
  6. Step 6: Final answer
    x = 1,681,078.23

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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.