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Finding the Third Proportional to 121,129.50 and 185,932.50

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Solution

The third proportional to 121,129.50 and 185,932.50 is: 285,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,129.50 : 185,932.50 = 185,932.50 : x
  2. Step 2: Convert to fraction form
    121,129.50/185,932.50 = 185,932.50/x
  3. Step 3: Cross multiply
    121,129.50x = 185,932.50 × 185,932.50
  4. Step 4: Simplify right side
    121,129.50x = 34,570,894,556.25
  5. Step 5: Solve for x
    x = 34,570,894,556.25/121,129.50
  6. Step 6: Final answer
    x = 285,404.42

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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.