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Finding the Third Proportional to 83,268 and 121,972.50

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Solution

The third proportional to 83,268 and 121,972.50 is: 178,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,268 : 121,972.50 = 121,972.50 : x
  2. Step 2: Convert to fraction form
    83,268/121,972.50 = 121,972.50/x
  3. Step 3: Cross multiply
    83,268x = 121,972.50 × 121,972.50
  4. Step 4: Simplify right side
    83,268x = 14,877,290,756.25
  5. Step 5: Solve for x
    x = 14,877,290,756.25/83,268
  6. Step 6: Final answer
    x = 178,667.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.