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Finding the Third Proportional to 121,828.50 and 187,500.38

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Solution

The third proportional to 121,828.50 and 187,500.38 is: 288,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,828.50 : 187,500.38 = 187,500.38 : x
  2. Step 2: Convert to fraction form
    121,828.50/187,500.38 = 187,500.38/x
  3. Step 3: Cross multiply
    121,828.50x = 187,500.38 × 187,500.38
  4. Step 4: Simplify right side
    121,828.50x = 35,156,390,625.14
  5. Step 5: Solve for x
    x = 35,156,390,625.14/121,828.50
  6. Step 6: Final answer
    x = 288,572.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.