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Finding the Third Proportional to 68,330 and 140,062

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Solution

The third proportional to 68,330 and 140,062 is: 287,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,330 : 140,062 = 140,062 : x
  2. Step 2: Convert to fraction form
    68,330/140,062 = 140,062/x
  3. Step 3: Cross multiply
    68,330x = 140,062 × 140,062
  4. Step 4: Simplify right side
    68,330x = 19,617,363,844
  5. Step 5: Solve for x
    x = 19,617,363,844/68,330
  6. Step 6: Final answer
    x = 287,097.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.