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Finding the Third Proportional to 80,290 and 122,530

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Solution

The third proportional to 80,290 and 122,530 is: 186,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,290 : 122,530 = 122,530 : x
  2. Step 2: Convert to fraction form
    80,290/122,530 = 122,530/x
  3. Step 3: Cross multiply
    80,290x = 122,530 × 122,530
  4. Step 4: Simplify right side
    80,290x = 15,013,600,900
  5. Step 5: Solve for x
    x = 15,013,600,900/80,290
  6. Step 6: Final answer
    x = 186,992.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.