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Finding the Third Proportional to 402,543 and 822,564

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Solution

The third proportional to 402,543 and 822,564 is: 1,680,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,543 : 822,564 = 822,564 : x
  2. Step 2: Convert to fraction form
    402,543/822,564 = 822,564/x
  3. Step 3: Cross multiply
    402,543x = 822,564 × 822,564
  4. Step 4: Simplify right side
    402,543x = 676,611,534,096
  5. Step 5: Solve for x
    x = 676,611,534,096/402,543
  6. Step 6: Final answer
    x = 1,680,842.88

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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.