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Finding the Third Proportional to 122,520 and 181,464

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Solution

The third proportional to 122,520 and 181,464 is: 268,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,520 : 181,464 = 181,464 : x
  2. Step 2: Convert to fraction form
    122,520/181,464 = 181,464/x
  3. Step 3: Cross multiply
    122,520x = 181,464 × 181,464
  4. Step 4: Simplify right side
    122,520x = 32,929,183,296
  5. Step 5: Solve for x
    x = 32,929,183,296/122,520
  6. Step 6: Final answer
    x = 268,765.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.