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Finding the Third Proportional to 122,987 and 185,610

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Solution

The third proportional to 122,987 and 185,610 is: 280,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,987 : 185,610 = 185,610 : x
  2. Step 2: Convert to fraction form
    122,987/185,610 = 185,610/x
  3. Step 3: Cross multiply
    122,987x = 185,610 × 185,610
  4. Step 4: Simplify right side
    122,987x = 34,451,072,100
  5. Step 5: Solve for x
    x = 34,451,072,100/122,987
  6. Step 6: Final answer
    x = 280,119.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.