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Finding the Third Proportional to 64,932 and 134,856

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Solution

The third proportional to 64,932 and 134,856 is: 280,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,932 : 134,856 = 134,856 : x
  2. Step 2: Convert to fraction form
    64,932/134,856 = 134,856/x
  3. Step 3: Cross multiply
    64,932x = 134,856 × 134,856
  4. Step 4: Simplify right side
    64,932x = 18,186,140,736
  5. Step 5: Solve for x
    x = 18,186,140,736/64,932
  6. Step 6: Final answer
    x = 280,079.79

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.