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Finding the Third Proportional to 33,753 and 78,135

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Solution

The third proportional to 33,753 and 78,135 is: 180,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,753 : 78,135 = 78,135 : x
  2. Step 2: Convert to fraction form
    33,753/78,135 = 78,135/x
  3. Step 3: Cross multiply
    33,753x = 78,135 × 78,135
  4. Step 4: Simplify right side
    33,753x = 6,105,078,225
  5. Step 5: Solve for x
    x = 6,105,078,225/33,753
  6. Step 6: Final answer
    x = 180,875.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.