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Finding the Third Proportional to 33,405 and 77,680

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Solution

The third proportional to 33,405 and 77,680 is: 180,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,405 : 77,680 = 77,680 : x
  2. Step 2: Convert to fraction form
    33,405/77,680 = 77,680/x
  3. Step 3: Cross multiply
    33,405x = 77,680 × 77,680
  4. Step 4: Simplify right side
    33,405x = 6,034,182,400
  5. Step 5: Solve for x
    x = 6,034,182,400/33,405
  6. Step 6: Final answer
    x = 180,637.10

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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.