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Finding the Third Proportional to 821,562 and 1,098,909

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Solution

The third proportional to 821,562 and 1,098,909 is: 1,469,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,562 : 1,098,909 = 1,098,909 : x
  2. Step 2: Convert to fraction form
    821,562/1,098,909 = 1,098,909/x
  3. Step 3: Cross multiply
    821,562x = 1,098,909 × 1,098,909
  4. Step 4: Simplify right side
    821,562x = 1,207,600,990,281
  5. Step 5: Solve for x
    x = 1,207,600,990,281/821,562
  6. Step 6: Final answer
    x = 1,469,884.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.