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Finding the Third Proportional to 18,319 and 39,919

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Solution

The third proportional to 18,319 and 39,919 is: 86,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,319 : 39,919 = 39,919 : x
  2. Step 2: Convert to fraction form
    18,319/39,919 = 39,919/x
  3. Step 3: Cross multiply
    18,319x = 39,919 × 39,919
  4. Step 4: Simplify right side
    18,319x = 1,593,526,561
  5. Step 5: Solve for x
    x = 1,593,526,561/18,319
  6. Step 6: Final answer
    x = 86,987.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.