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Finding the Third Proportional to 185,218.31 and 398,049.19

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Solution

The third proportional to 185,218.31 and 398,049.19 is: 855,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,218.31 : 398,049.19 = 398,049.19 : x
  2. Step 2: Convert to fraction form
    185,218.31/398,049.19 = 398,049.19/x
  3. Step 3: Cross multiply
    185,218.31x = 398,049.19 × 398,049.19
  4. Step 4: Simplify right side
    185,218.31x = 158,443,155,669.41
  5. Step 5: Solve for x
    x = 158,443,155,669.41/185,218.31
  6. Step 6: Final answer
    x = 855,440.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.