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Finding the Third Proportional to 18,140 and 25,678

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Solution

The third proportional to 18,140 and 25,678 is: 36,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140 : 25,678 = 25,678 : x
  2. Step 2: Convert to fraction form
    18,140/25,678 = 25,678/x
  3. Step 3: Cross multiply
    18,140x = 25,678 × 25,678
  4. Step 4: Simplify right side
    18,140x = 659,359,684
  5. Step 5: Solve for x
    x = 659,359,684/18,140
  6. Step 6: Final answer
    x = 36,348.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.