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Finding the Third Proportional to 68,511 and 149,439

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Solution

The third proportional to 68,511 and 149,439 is: 325,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,511 : 149,439 = 149,439 : x
  2. Step 2: Convert to fraction form
    68,511/149,439 = 149,439/x
  3. Step 3: Cross multiply
    68,511x = 149,439 × 149,439
  4. Step 4: Simplify right side
    68,511x = 22,332,014,721
  5. Step 5: Solve for x
    x = 22,332,014,721/68,511
  6. Step 6: Final answer
    x = 325,962.47

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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.