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Finding the Third Proportional to 121,122.56 and 185,920.88

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Solution

The third proportional to 121,122.56 and 185,920.88 is: 285,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,122.56 : 185,920.88 = 185,920.88 : x
  2. Step 2: Convert to fraction form
    121,122.56/185,920.88 = 185,920.88/x
  3. Step 3: Cross multiply
    121,122.56x = 185,920.88 × 185,920.88
  4. Step 4: Simplify right side
    121,122.56x = 34,566,571,760.77
  5. Step 5: Solve for x
    x = 34,566,571,760.77/121,122.56
  6. Step 6: Final answer
    x = 285,385.08

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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.