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Finding the Third Proportional to 18,492 and 28,320

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Solution

The third proportional to 18,492 and 28,320 is: 43,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,492 : 28,320 = 28,320 : x
  2. Step 2: Convert to fraction form
    18,492/28,320 = 28,320/x
  3. Step 3: Cross multiply
    18,492x = 28,320 × 28,320
  4. Step 4: Simplify right side
    18,492x = 802,022,400
  5. Step 5: Solve for x
    x = 802,022,400/18,492
  6. Step 6: Final answer
    x = 43,371.32

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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.