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Finding the Third Proportional to 33,678 and 51,540

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Solution

The third proportional to 33,678 and 51,540 is: 78,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,678 : 51,540 = 51,540 : x
  2. Step 2: Convert to fraction form
    33,678/51,540 = 51,540/x
  3. Step 3: Cross multiply
    33,678x = 51,540 × 51,540
  4. Step 4: Simplify right side
    33,678x = 2,656,371,600
  5. Step 5: Solve for x
    x = 2,656,371,600/33,678
  6. Step 6: Final answer
    x = 78,875.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.