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Finding the Third Proportional to 121,828.50 and 186,198.75

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Solution

The third proportional to 121,828.50 and 186,198.75 is: 284,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,828.50 : 186,198.75 = 186,198.75 : x
  2. Step 2: Convert to fraction form
    121,828.50/186,198.75 = 186,198.75/x
  3. Step 3: Cross multiply
    121,828.50x = 186,198.75 × 186,198.75
  4. Step 4: Simplify right side
    121,828.50x = 34,669,974,501.56
  5. Step 5: Solve for x
    x = 34,669,974,501.56/121,828.50
  6. Step 6: Final answer
    x = 284,580.16

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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.