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Finding the Third Proportional to 121,261.50 and 261,882

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Solution

The third proportional to 121,261.50 and 261,882 is: 565,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,261.50 : 261,882 = 261,882 : x
  2. Step 2: Convert to fraction form
    121,261.50/261,882 = 261,882/x
  3. Step 3: Cross multiply
    121,261.50x = 261,882 × 261,882
  4. Step 4: Simplify right side
    121,261.50x = 68,582,181,924
  5. Step 5: Solve for x
    x = 68,582,181,924/121,261.50
  6. Step 6: Final answer
    x = 565,572.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.