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Finding the Third Proportional to 121,452 and 261,048

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Solution

The third proportional to 121,452 and 261,048 is: 561,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,452 : 261,048 = 261,048 : x
  2. Step 2: Convert to fraction form
    121,452/261,048 = 261,048/x
  3. Step 3: Cross multiply
    121,452x = 261,048 × 261,048
  4. Step 4: Simplify right side
    121,452x = 68,146,058,304
  5. Step 5: Solve for x
    x = 68,146,058,304/121,452
  6. Step 6: Final answer
    x = 561,094.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.