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Finding the Third Proportional to 18,290 and 39,170

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Solution

The third proportional to 18,290 and 39,170 is: 83,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,290 : 39,170 = 39,170 : x
  2. Step 2: Convert to fraction form
    18,290/39,170 = 39,170/x
  3. Step 3: Cross multiply
    18,290x = 39,170 × 39,170
  4. Step 4: Simplify right side
    18,290x = 1,534,288,900
  5. Step 5: Solve for x
    x = 1,534,288,900/18,290
  6. Step 6: Final answer
    x = 83,886.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.