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Finding the Third Proportional to 83,229 and 128,727.75

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Solution

The third proportional to 83,229 and 128,727.75 is: 199,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,229 : 128,727.75 = 128,727.75 : x
  2. Step 2: Convert to fraction form
    83,229/128,727.75 = 128,727.75/x
  3. Step 3: Cross multiply
    83,229x = 128,727.75 × 128,727.75
  4. Step 4: Simplify right side
    83,229x = 16,570,833,620.06
  5. Step 5: Solve for x
    x = 16,570,833,620.06/83,229
  6. Step 6: Final answer
    x = 199,099.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.