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Finding the Third Proportional to 398,121.75 and 866,224.13

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Solution

The third proportional to 398,121.75 and 866,224.13 is: 1,884,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,121.75 : 866,224.13 = 866,224.13 : x
  2. Step 2: Convert to fraction form
    398,121.75/866,224.13 = 866,224.13/x
  3. Step 3: Cross multiply
    398,121.75x = 866,224.13 × 866,224.13
  4. Step 4: Simplify right side
    398,121.75x = 750,344,234,732.02
  5. Step 5: Solve for x
    x = 750,344,234,732.02/398,121.75
  6. Step 6: Final answer
    x = 1,884,710.48

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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.