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Finding the Third Proportional to 397,279.13 and 868,828.78

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Solution

The third proportional to 397,279.13 and 868,828.78 is: 1,900,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,279.13 : 868,828.78 = 868,828.78 : x
  2. Step 2: Convert to fraction form
    397,279.13/868,828.78 = 868,828.78/x
  3. Step 3: Cross multiply
    397,279.13x = 868,828.78 × 868,828.78
  4. Step 4: Simplify right side
    397,279.13x = 754,863,451,128.36
  5. Step 5: Solve for x
    x = 754,863,451,128.36/397,279.13
  6. Step 6: Final answer
    x = 1,900,083.35

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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.