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Finding the Third Proportional to 132,212.75 and 192,780.75

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Solution

The third proportional to 132,212.75 and 192,780.75 is: 281,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,212.75 : 192,780.75 = 192,780.75 : x
  2. Step 2: Convert to fraction form
    132,212.75/192,780.75 = 192,780.75/x
  3. Step 3: Cross multiply
    132,212.75x = 192,780.75 × 192,780.75
  4. Step 4: Simplify right side
    132,212.75x = 37,164,417,570.56
  5. Step 5: Solve for x
    x = 37,164,417,570.56/132,212.75
  6. Step 6: Final answer
    x = 281,095.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.