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Finding the Third Proportional to 68,418 and 100,260

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Solution

The third proportional to 68,418 and 100,260 is: 146,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,418 : 100,260 = 100,260 : x
  2. Step 2: Convert to fraction form
    68,418/100,260 = 100,260/x
  3. Step 3: Cross multiply
    68,418x = 100,260 × 100,260
  4. Step 4: Simplify right side
    68,418x = 10,052,067,600
  5. Step 5: Solve for x
    x = 10,052,067,600/68,418
  6. Step 6: Final answer
    x = 146,921.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.