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Finding the Third Proportional to 122,277.50 and 182,288

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Solution

The third proportional to 122,277.50 and 182,288 is: 271,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,277.50 : 182,288 = 182,288 : x
  2. Step 2: Convert to fraction form
    122,277.50/182,288 = 182,288/x
  3. Step 3: Cross multiply
    122,277.50x = 182,288 × 182,288
  4. Step 4: Simplify right side
    122,277.50x = 33,228,914,944
  5. Step 5: Solve for x
    x = 33,228,914,944/122,277.50
  6. Step 6: Final answer
    x = 271,750.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.