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Finding the Third Proportional to 17,991 and 38,174.25

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Solution

The third proportional to 17,991 and 38,174.25 is: 81,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,991 : 38,174.25 = 38,174.25 : x
  2. Step 2: Convert to fraction form
    17,991/38,174.25 = 38,174.25/x
  3. Step 3: Cross multiply
    17,991x = 38,174.25 × 38,174.25
  4. Step 4: Simplify right side
    17,991x = 1,457,273,363.06
  5. Step 5: Solve for x
    x = 1,457,273,363.06/17,991
  6. Step 6: Final answer
    x = 81,000.13

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1.5x scale

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.