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Finding the Third Proportional to 33,389 and 77,640

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Solution

The third proportional to 33,389 and 77,640 is: 180,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,389 : 77,640 = 77,640 : x
  2. Step 2: Convert to fraction form
    33,389/77,640 = 77,640/x
  3. Step 3: Cross multiply
    33,389x = 77,640 × 77,640
  4. Step 4: Simplify right side
    33,389x = 6,027,969,600
  5. Step 5: Solve for x
    x = 6,027,969,600/33,389
  6. Step 6: Final answer
    x = 180,537.59

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.