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Finding the Third Proportional to 18,137 and 27,746

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Solution

The third proportional to 18,137 and 27,746 is: 42,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137 : 27,746 = 27,746 : x
  2. Step 2: Convert to fraction form
    18,137/27,746 = 27,746/x
  3. Step 3: Cross multiply
    18,137x = 27,746 × 27,746
  4. Step 4: Simplify right side
    18,137x = 769,840,516
  5. Step 5: Solve for x
    x = 769,840,516/18,137
  6. Step 6: Final answer
    x = 42,445.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.