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Finding the Third Proportional to 82,454 and 132,759

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Solution

The third proportional to 82,454 and 132,759 is: 213,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,454 : 132,759 = 132,759 : x
  2. Step 2: Convert to fraction form
    82,454/132,759 = 132,759/x
  3. Step 3: Cross multiply
    82,454x = 132,759 × 132,759
  4. Step 4: Simplify right side
    82,454x = 17,624,952,081
  5. Step 5: Solve for x
    x = 17,624,952,081/82,454
  6. Step 6: Final answer
    x = 213,754.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.