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Finding the Third Proportional to 129,216.75 and 273,777

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Solution

The third proportional to 129,216.75 and 273,777 is: 580,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,216.75 : 273,777 = 273,777 : x
  2. Step 2: Convert to fraction form
    129,216.75/273,777 = 273,777/x
  3. Step 3: Cross multiply
    129,216.75x = 273,777 × 273,777
  4. Step 4: Simplify right side
    129,216.75x = 74,953,845,729
  5. Step 5: Solve for x
    x = 74,953,845,729/129,216.75
  6. Step 6: Final answer
    x = 580,062.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.