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Finding the Third Proportional to 398,287.13 and 863,034.75

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Solution

The third proportional to 398,287.13 and 863,034.75 is: 1,870,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,287.13 : 863,034.75 = 863,034.75 : x
  2. Step 2: Convert to fraction form
    398,287.13/863,034.75 = 863,034.75/x
  3. Step 3: Cross multiply
    398,287.13x = 863,034.75 × 863,034.75
  4. Step 4: Simplify right side
    398,287.13x = 744,828,979,707.56
  5. Step 5: Solve for x
    x = 744,828,979,707.56/398,287.13
  6. Step 6: Final answer
    x = 1,870,080.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.