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Finding the Third Proportional to 18,102 and 38,389

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Solution

The third proportional to 18,102 and 38,389 is: 81,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102 : 38,389 = 38,389 : x
  2. Step 2: Convert to fraction form
    18,102/38,389 = 38,389/x
  3. Step 3: Cross multiply
    18,102x = 38,389 × 38,389
  4. Step 4: Simplify right side
    18,102x = 1,473,715,321
  5. Step 5: Solve for x
    x = 1,473,715,321/18,102
  6. Step 6: Final answer
    x = 81,411.74

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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.