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Finding the Third Proportional to 121,138 and 185,939

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Solution

The third proportional to 121,138 and 185,939 is: 285,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,138 : 185,939 = 185,939 : x
  2. Step 2: Convert to fraction form
    121,138/185,939 = 185,939/x
  3. Step 3: Cross multiply
    121,138x = 185,939 × 185,939
  4. Step 4: Simplify right side
    121,138x = 34,573,311,721
  5. Step 5: Solve for x
    x = 34,573,311,721/121,138
  6. Step 6: Final answer
    x = 285,404.35

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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.