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Finding the Third Proportional to 68,658 and 150,438

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Solution

The third proportional to 68,658 and 150,438 is: 329,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,658 : 150,438 = 150,438 : x
  2. Step 2: Convert to fraction form
    68,658/150,438 = 150,438/x
  3. Step 3: Cross multiply
    68,658x = 150,438 × 150,438
  4. Step 4: Simplify right side
    68,658x = 22,631,591,844
  5. Step 5: Solve for x
    x = 22,631,591,844/68,658
  6. Step 6: Final answer
    x = 329,627.89

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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.