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Finding the Third Proportional to 181,444 and 398,312

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Solution

The third proportional to 181,444 and 398,312 is: 874,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,444 : 398,312 = 398,312 : x
  2. Step 2: Convert to fraction form
    181,444/398,312 = 398,312/x
  3. Step 3: Cross multiply
    181,444x = 398,312 × 398,312
  4. Step 4: Simplify right side
    181,444x = 158,652,449,344
  5. Step 5: Solve for x
    x = 158,652,449,344/181,444
  6. Step 6: Final answer
    x = 874,387.96

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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.