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Finding the Third Proportional to 396,872.16 and 869,742.56

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Solution

The third proportional to 396,872.16 and 869,742.56 is: 1,906,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,872.16 : 869,742.56 = 869,742.56 : x
  2. Step 2: Convert to fraction form
    396,872.16/869,742.56 = 869,742.56/x
  3. Step 3: Cross multiply
    396,872.16x = 869,742.56 × 869,742.56
  4. Step 4: Simplify right side
    396,872.16x = 756,452,125,024.07
  5. Step 5: Solve for x
    x = 756,452,125,024.07/396,872.16
  6. Step 6: Final answer
    x = 1,906,034.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.