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Finding the Third Proportional to 68,928 and 150,492

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Solution

The third proportional to 68,928 and 150,492 is: 328,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,928 : 150,492 = 150,492 : x
  2. Step 2: Convert to fraction form
    68,928/150,492 = 150,492/x
  3. Step 3: Cross multiply
    68,928x = 150,492 × 150,492
  4. Step 4: Simplify right side
    68,928x = 22,647,842,064
  5. Step 5: Solve for x
    x = 22,647,842,064/68,928
  6. Step 6: Final answer
    x = 328,572.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.