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Finding the Third Proportional to 68,643 and 150,408

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Solution

The third proportional to 68,643 and 150,408 is: 329,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,643 : 150,408 = 150,408 : x
  2. Step 2: Convert to fraction form
    68,643/150,408 = 150,408/x
  3. Step 3: Cross multiply
    68,643x = 150,408 × 150,408
  4. Step 4: Simplify right side
    68,643x = 22,622,566,464
  5. Step 5: Solve for x
    x = 22,622,566,464/68,643
  6. Step 6: Final answer
    x = 329,568.44

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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.