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Finding the Third Proportional to 17,739 and 20,229.75

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Solution

The third proportional to 17,739 and 20,229.75 is: 23,070.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,739 : 20,229.75 = 20,229.75 : x
  2. Step 2: Convert to fraction form
    17,739/20,229.75 = 20,229.75/x
  3. Step 3: Cross multiply
    17,739x = 20,229.75 × 20,229.75
  4. Step 4: Simplify right side
    17,739x = 409,242,785.06
  5. Step 5: Solve for x
    x = 409,242,785.06/17,739
  6. Step 6: Final answer
    x = 23,070.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.