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Finding the Third Proportional to 402,552 and 822,582

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Solution

The third proportional to 402,552 and 822,582 is: 1,680,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,552 : 822,582 = 822,582 : x
  2. Step 2: Convert to fraction form
    402,552/822,582 = 822,582/x
  3. Step 3: Cross multiply
    402,552x = 822,582 × 822,582
  4. Step 4: Simplify right side
    402,552x = 676,641,146,724
  5. Step 5: Solve for x
    x = 676,641,146,724/402,552
  6. Step 6: Final answer
    x = 1,680,878.86

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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.