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Finding the Third Proportional to 68,406 and 147,744

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Solution

The third proportional to 68,406 and 147,744 is: 319,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,406 : 147,744 = 147,744 : x
  2. Step 2: Convert to fraction form
    68,406/147,744 = 147,744/x
  3. Step 3: Cross multiply
    68,406x = 147,744 × 147,744
  4. Step 4: Simplify right side
    68,406x = 21,828,289,536
  5. Step 5: Solve for x
    x = 21,828,289,536/68,406
  6. Step 6: Final answer
    x = 319,099.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.