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Finding the Third Proportional to 132,250 and 192,713

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Solution

The third proportional to 132,250 and 192,713 is: 280,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,250 : 192,713 = 192,713 : x
  2. Step 2: Convert to fraction form
    132,250/192,713 = 192,713/x
  3. Step 3: Cross multiply
    132,250x = 192,713 × 192,713
  4. Step 4: Simplify right side
    132,250x = 37,138,300,369
  5. Step 5: Solve for x
    x = 37,138,300,369/132,250
  6. Step 6: Final answer
    x = 280,818.91

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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.