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Finding the Third Proportional to 30,427 and 65,381

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Solution

The third proportional to 30,427 and 65,381 is: 140,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,427 : 65,381 = 65,381 : x
  2. Step 2: Convert to fraction form
    30,427/65,381 = 65,381/x
  3. Step 3: Cross multiply
    30,427x = 65,381 × 65,381
  4. Step 4: Simplify right side
    30,427x = 4,274,675,161
  5. Step 5: Solve for x
    x = 4,274,675,161/30,427
  6. Step 6: Final answer
    x = 140,489.54

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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.