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Finding the Third Proportional to 33,400 and 77,660

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Solution

The third proportional to 33,400 and 77,660 is: 180,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,400 : 77,660 = 77,660 : x
  2. Step 2: Convert to fraction form
    33,400/77,660 = 77,660/x
  3. Step 3: Cross multiply
    33,400x = 77,660 × 77,660
  4. Step 4: Simplify right side
    33,400x = 6,031,075,600
  5. Step 5: Solve for x
    x = 6,031,075,600/33,400
  6. Step 6: Final answer
    x = 180,571.13

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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.