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Finding the Third Proportional to 121,328 and 185,856

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Solution

The third proportional to 121,328 and 185,856 is: 284,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,328 : 185,856 = 185,856 : x
  2. Step 2: Convert to fraction form
    121,328/185,856 = 185,856/x
  3. Step 3: Cross multiply
    121,328x = 185,856 × 185,856
  4. Step 4: Simplify right side
    121,328x = 34,542,452,736
  5. Step 5: Solve for x
    x = 34,542,452,736/121,328
  6. Step 6: Final answer
    x = 284,703.06

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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.