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Finding the Third Proportional to 18,000 and 25,320

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Solution

The third proportional to 18,000 and 25,320 is: 35,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,000 : 25,320 = 25,320 : x
  2. Step 2: Convert to fraction form
    18,000/25,320 = 25,320/x
  3. Step 3: Cross multiply
    18,000x = 25,320 × 25,320
  4. Step 4: Simplify right side
    18,000x = 641,102,400
  5. Step 5: Solve for x
    x = 641,102,400/18,000
  6. Step 6: Final answer
    x = 35,616.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.