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Finding the Third Proportional to 68,911 and 150,128

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Solution

The third proportional to 68,911 and 150,128 is: 327,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,911 : 150,128 = 150,128 : x
  2. Step 2: Convert to fraction form
    68,911/150,128 = 150,128/x
  3. Step 3: Cross multiply
    68,911x = 150,128 × 150,128
  4. Step 4: Simplify right side
    68,911x = 22,538,416,384
  5. Step 5: Solve for x
    x = 22,538,416,384/68,911
  6. Step 6: Final answer
    x = 327,065.58

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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.