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Finding the Third Proportional to 18,307 and 27,389

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Solution

The third proportional to 18,307 and 27,389 is: 40,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,307 : 27,389 = 27,389 : x
  2. Step 2: Convert to fraction form
    18,307/27,389 = 27,389/x
  3. Step 3: Cross multiply
    18,307x = 27,389 × 27,389
  4. Step 4: Simplify right side
    18,307x = 750,157,321
  5. Step 5: Solve for x
    x = 750,157,321/18,307
  6. Step 6: Final answer
    x = 40,976.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.