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Finding the Third Proportional to 153,919.50 and 222,720

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Solution

The third proportional to 153,919.50 and 222,720 is: 322,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,919.50 : 222,720 = 222,720 : x
  2. Step 2: Convert to fraction form
    153,919.50/222,720 = 222,720/x
  3. Step 3: Cross multiply
    153,919.50x = 222,720 × 222,720
  4. Step 4: Simplify right side
    153,919.50x = 49,604,198,400
  5. Step 5: Solve for x
    x = 49,604,198,400/153,919.50
  6. Step 6: Final answer
    x = 322,273.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.