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Finding the Third Proportional to 80,939 and 121,407.50

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Solution

The third proportional to 80,939 and 121,407.50 is: 182,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,939 : 121,407.50 = 121,407.50 : x
  2. Step 2: Convert to fraction form
    80,939/121,407.50 = 121,407.50/x
  3. Step 3: Cross multiply
    80,939x = 121,407.50 × 121,407.50
  4. Step 4: Simplify right side
    80,939x = 14,739,781,056.25
  5. Step 5: Solve for x
    x = 14,739,781,056.25/80,939
  6. Step 6: Final answer
    x = 182,109.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.