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Finding the Third Proportional to 181,060 and 398,216

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Solution

The third proportional to 181,060 and 398,216 is: 875,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,060 : 398,216 = 398,216 : x
  2. Step 2: Convert to fraction form
    181,060/398,216 = 398,216/x
  3. Step 3: Cross multiply
    181,060x = 398,216 × 398,216
  4. Step 4: Simplify right side
    181,060x = 158,575,982,656
  5. Step 5: Solve for x
    x = 158,575,982,656/181,060
  6. Step 6: Final answer
    x = 875,820.07

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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.