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Finding the Third Proportional to 33,979 and 72,085

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Solution

The third proportional to 33,979 and 72,085 is: 152,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,979 : 72,085 = 72,085 : x
  2. Step 2: Convert to fraction form
    33,979/72,085 = 72,085/x
  3. Step 3: Cross multiply
    33,979x = 72,085 × 72,085
  4. Step 4: Simplify right side
    33,979x = 5,196,247,225
  5. Step 5: Solve for x
    x = 5,196,247,225/33,979
  6. Step 6: Final answer
    x = 152,925.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.