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Finding the Third Proportional to 121,272 and 265,866

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Solution

The third proportional to 121,272 and 265,866 is: 582,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,272 : 265,866 = 265,866 : x
  2. Step 2: Convert to fraction form
    121,272/265,866 = 265,866/x
  3. Step 3: Cross multiply
    121,272x = 265,866 × 265,866
  4. Step 4: Simplify right side
    121,272x = 70,684,729,956
  5. Step 5: Solve for x
    x = 70,684,729,956/121,272
  6. Step 6: Final answer
    x = 582,861.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.