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Finding the Third Proportional to 397,549.13 and 865,082.25

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Solution

The third proportional to 397,549.13 and 865,082.25 is: 1,882,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,549.13 : 865,082.25 = 865,082.25 : x
  2. Step 2: Convert to fraction form
    397,549.13/865,082.25 = 865,082.25/x
  3. Step 3: Cross multiply
    397,549.13x = 865,082.25 × 865,082.25
  4. Step 4: Simplify right side
    397,549.13x = 748,367,299,265.06
  5. Step 5: Solve for x
    x = 748,367,299,265.06/397,549.13
  6. Step 6: Final answer
    x = 1,882,452.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.