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Finding the Third Proportional to 821,229.89 and 1,098,515.67

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Solution

The third proportional to 821,229.89 and 1,098,515.67 is: 1,469,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,229.89 : 1,098,515.67 = 1,098,515.67 : x
  2. Step 2: Convert to fraction form
    821,229.89/1,098,515.67 = 1,098,515.67/x
  3. Step 3: Cross multiply
    821,229.89x = 1,098,515.67 × 1,098,515.67
  4. Step 4: Simplify right side
    821,229.89x = 1,206,736,681,354.98
  5. Step 5: Solve for x
    x = 1,206,736,681,354.98/821,229.89
  6. Step 6: Final answer
    x = 1,469,426.16

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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.