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Finding the Third Proportional to 68,508 and 150,108

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Solution

The third proportional to 68,508 and 150,108 is: 328,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,508 : 150,108 = 150,108 : x
  2. Step 2: Convert to fraction form
    68,508/150,108 = 150,108/x
  3. Step 3: Cross multiply
    68,508x = 150,108 × 150,108
  4. Step 4: Simplify right side
    68,508x = 22,532,411,664
  5. Step 5: Solve for x
    x = 22,532,411,664/68,508
  6. Step 6: Final answer
    x = 328,901.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.