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Finding the Third Proportional to 64,381 and 134,645

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Solution

The third proportional to 64,381 and 134,645 is: 281,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,381 : 134,645 = 134,645 : x
  2. Step 2: Convert to fraction form
    64,381/134,645 = 134,645/x
  3. Step 3: Cross multiply
    64,381x = 134,645 × 134,645
  4. Step 4: Simplify right side
    64,381x = 18,129,276,025
  5. Step 5: Solve for x
    x = 18,129,276,025/64,381
  6. Step 6: Final answer
    x = 281,593.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.