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Finding the Third Proportional to 402,556 and 822,589

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Solution

The third proportional to 402,556 and 822,589 is: 1,680,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,556 : 822,589 = 822,589 : x
  2. Step 2: Convert to fraction form
    402,556/822,589 = 822,589/x
  3. Step 3: Cross multiply
    402,556x = 822,589 × 822,589
  4. Step 4: Simplify right side
    402,556x = 676,652,662,921
  5. Step 5: Solve for x
    x = 676,652,662,921/402,556
  6. Step 6: Final answer
    x = 1,680,890.77

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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.