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Finding the Third Proportional to 64,379 and 134,641

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Solution

The third proportional to 64,379 and 134,641 is: 281,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,379 : 134,641 = 134,641 : x
  2. Step 2: Convert to fraction form
    64,379/134,641 = 134,641/x
  3. Step 3: Cross multiply
    64,379x = 134,641 × 134,641
  4. Step 4: Simplify right side
    64,379x = 18,128,198,881
  5. Step 5: Solve for x
    x = 18,128,198,881/64,379
  6. Step 6: Final answer
    x = 281,585.59

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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.