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Finding the Third Proportional to 64,635 and 134,805

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Solution

The third proportional to 64,635 and 134,805 is: 281,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,635 : 134,805 = 134,805 : x
  2. Step 2: Convert to fraction form
    64,635/134,805 = 134,805/x
  3. Step 3: Cross multiply
    64,635x = 134,805 × 134,805
  4. Step 4: Simplify right side
    64,635x = 18,172,388,025
  5. Step 5: Solve for x
    x = 18,172,388,025/64,635
  6. Step 6: Final answer
    x = 281,153.99

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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.