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Finding the Third Proportional to 18,432 and 23,328

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Solution

The third proportional to 18,432 and 23,328 is: 29,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432 : 23,328 = 23,328 : x
  2. Step 2: Convert to fraction form
    18,432/23,328 = 23,328/x
  3. Step 3: Cross multiply
    18,432x = 23,328 × 23,328
  4. Step 4: Simplify right side
    18,432x = 544,195,584
  5. Step 5: Solve for x
    x = 544,195,584/18,432
  6. Step 6: Final answer
    x = 29,524.50

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.