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Finding the Third Proportional to 511,672.57 and 783,082.69

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Solution

The third proportional to 511,672.57 and 783,082.69 is: 1,198,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,672.57 : 783,082.69 = 783,082.69 : x
  2. Step 2: Convert to fraction form
    511,672.57/783,082.69 = 783,082.69/x
  3. Step 3: Cross multiply
    511,672.57x = 783,082.69 × 783,082.69
  4. Step 4: Simplify right side
    511,672.57x = 613,218,495,462.22
  5. Step 5: Solve for x
    x = 613,218,495,462.22/511,672.57
  6. Step 6: Final answer
    x = 1,198,458.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.