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Finding the Third Proportional to 121,755.75 and 266,424

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Solution

The third proportional to 121,755.75 and 266,424 is: 582,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,755.75 : 266,424 = 266,424 : x
  2. Step 2: Convert to fraction form
    121,755.75/266,424 = 266,424/x
  3. Step 3: Cross multiply
    121,755.75x = 266,424 × 266,424
  4. Step 4: Simplify right side
    121,755.75x = 70,981,747,776
  5. Step 5: Solve for x
    x = 70,981,747,776/121,755.75
  6. Step 6: Final answer
    x = 582,984.77

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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.