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Finding the Third Proportional to 68,373 and 142,195.50

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Solution

The third proportional to 68,373 and 142,195.50 is: 295,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,373 : 142,195.50 = 142,195.50 : x
  2. Step 2: Convert to fraction form
    68,373/142,195.50 = 142,195.50/x
  3. Step 3: Cross multiply
    68,373x = 142,195.50 × 142,195.50
  4. Step 4: Simplify right side
    68,373x = 20,219,560,220.25
  5. Step 5: Solve for x
    x = 20,219,560,220.25/68,373
  6. Step 6: Final answer
    x = 295,724.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.