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Finding the Third Proportional to 70,179.75 and 143,640

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Solution

The third proportional to 70,179.75 and 143,640 is: 293,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,179.75 : 143,640 = 143,640 : x
  2. Step 2: Convert to fraction form
    70,179.75/143,640 = 143,640/x
  3. Step 3: Cross multiply
    70,179.75x = 143,640 × 143,640
  4. Step 4: Simplify right side
    70,179.75x = 20,632,449,600
  5. Step 5: Solve for x
    x = 20,632,449,600/70,179.75
  6. Step 6: Final answer
    x = 293,994.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.