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Finding the Third Proportional to 68,871 and 148,245

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Solution

The third proportional to 68,871 and 148,245 is: 319,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,871 : 148,245 = 148,245 : x
  2. Step 2: Convert to fraction form
    68,871/148,245 = 148,245/x
  3. Step 3: Cross multiply
    68,871x = 148,245 × 148,245
  4. Step 4: Simplify right side
    68,871x = 21,976,580,025
  5. Step 5: Solve for x
    x = 21,976,580,025/68,871
  6. Step 6: Final answer
    x = 319,097.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.