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Finding the Third Proportional to 181,281.75 and 398,811

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Solution

The third proportional to 181,281.75 and 398,811 is: 877,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,281.75 : 398,811 = 398,811 : x
  2. Step 2: Convert to fraction form
    181,281.75/398,811 = 398,811/x
  3. Step 3: Cross multiply
    181,281.75x = 398,811 × 398,811
  4. Step 4: Simplify right side
    181,281.75x = 159,050,213,721
  5. Step 5: Solve for x
    x = 159,050,213,721/181,281.75
  6. Step 6: Final answer
    x = 877,364.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.