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Finding the Third Proportional to 132,560 and 192,584

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Solution

The third proportional to 132,560 and 192,584 is: 279,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,560 : 192,584 = 192,584 : x
  2. Step 2: Convert to fraction form
    132,560/192,584 = 192,584/x
  3. Step 3: Cross multiply
    132,560x = 192,584 × 192,584
  4. Step 4: Simplify right side
    132,560x = 37,088,597,056
  5. Step 5: Solve for x
    x = 37,088,597,056/132,560
  6. Step 6: Final answer
    x = 279,787.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.