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Finding the Third Proportional to 64,400 and 143,864

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Solution

The third proportional to 64,400 and 143,864 is: 321,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,400 : 143,864 = 143,864 : x
  2. Step 2: Convert to fraction form
    64,400/143,864 = 143,864/x
  3. Step 3: Cross multiply
    64,400x = 143,864 × 143,864
  4. Step 4: Simplify right side
    64,400x = 20,696,850,496
  5. Step 5: Solve for x
    x = 20,696,850,496/64,400
  6. Step 6: Final answer
    x = 321,379.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.