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Finding the Third Proportional to 387,892.88 and 822,433.13

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Solution

The third proportional to 387,892.88 and 822,433.13 is: 1,743,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,892.88 : 822,433.13 = 822,433.13 : x
  2. Step 2: Convert to fraction form
    387,892.88/822,433.13 = 822,433.13/x
  3. Step 3: Cross multiply
    387,892.88x = 822,433.13 × 822,433.13
  4. Step 4: Simplify right side
    387,892.88x = 676,396,245,097.27
  5. Step 5: Solve for x
    x = 676,396,245,097.27/387,892.88
  6. Step 6: Final answer
    x = 1,743,770.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.