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Finding the Third Proportional to 33,760.88 and 78,160.13

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Solution

The third proportional to 33,760.88 and 78,160.13 is: 180,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,760.88 : 78,160.13 = 78,160.13 : x
  2. Step 2: Convert to fraction form
    33,760.88/78,160.13 = 78,160.13/x
  3. Step 3: Cross multiply
    33,760.88x = 78,160.13 × 78,160.13
  4. Step 4: Simplify right side
    33,760.88x = 6,109,005,140.02
  5. Step 5: Solve for x
    x = 6,109,005,140.02/33,760.88
  6. Step 6: Final answer
    x = 180,949.25

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.