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Finding the Third Proportional to 64,876 and 140,828

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Solution

The third proportional to 64,876 and 140,828 is: 305,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,876 : 140,828 = 140,828 : x
  2. Step 2: Convert to fraction form
    64,876/140,828 = 140,828/x
  3. Step 3: Cross multiply
    64,876x = 140,828 × 140,828
  4. Step 4: Simplify right side
    64,876x = 19,832,525,584
  5. Step 5: Solve for x
    x = 19,832,525,584/64,876
  6. Step 6: Final answer
    x = 305,698.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.