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Finding the Third Proportional to 181,294 and 398,836

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Solution

The third proportional to 181,294 and 398,836 is: 877,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,294 : 398,836 = 398,836 : x
  2. Step 2: Convert to fraction form
    181,294/398,836 = 398,836/x
  3. Step 3: Cross multiply
    181,294x = 398,836 × 398,836
  4. Step 4: Simplify right side
    181,294x = 159,070,154,896
  5. Step 5: Solve for x
    x = 159,070,154,896/181,294
  6. Step 6: Final answer
    x = 877,415.44

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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.