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Finding the Third Proportional to 33,586 and 49,128

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Solution

The third proportional to 33,586 and 49,128 is: 71,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,586 : 49,128 = 49,128 : x
  2. Step 2: Convert to fraction form
    33,586/49,128 = 49,128/x
  3. Step 3: Cross multiply
    33,586x = 49,128 × 49,128
  4. Step 4: Simplify right side
    33,586x = 2,413,560,384
  5. Step 5: Solve for x
    x = 2,413,560,384/33,586
  6. Step 6: Final answer
    x = 71,862.10

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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.