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Finding the Third Proportional to 80,957 and 121,125

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Solution

The third proportional to 80,957 and 121,125 is: 181,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,957 : 121,125 = 121,125 : x
  2. Step 2: Convert to fraction form
    80,957/121,125 = 121,125/x
  3. Step 3: Cross multiply
    80,957x = 121,125 × 121,125
  4. Step 4: Simplify right side
    80,957x = 14,671,265,625
  5. Step 5: Solve for x
    x = 14,671,265,625/80,957
  6. Step 6: Final answer
    x = 181,222.94

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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.