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Finding the Third Proportional to 691,854.75 and 1,519,921.13

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Solution

The third proportional to 691,854.75 and 1,519,921.13 is: 3,339,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,854.75 : 1,519,921.13 = 1,519,921.13 : x
  2. Step 2: Convert to fraction form
    691,854.75/1,519,921.13 = 1,519,921.13/x
  3. Step 3: Cross multiply
    691,854.75x = 1,519,921.13 × 1,519,921.13
  4. Step 4: Simplify right side
    691,854.75x = 2,310,160,226,221.27
  5. Step 5: Solve for x
    x = 2,310,160,226,221.27/691,854.75
  6. Step 6: Final answer
    x = 3,339,082.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.