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Finding the Third Proportional to 133,224.75 and 206,236.13

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Solution

The third proportional to 133,224.75 and 206,236.13 is: 319,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,224.75 : 206,236.13 = 206,236.13 : x
  2. Step 2: Convert to fraction form
    133,224.75/206,236.13 = 206,236.13/x
  3. Step 3: Cross multiply
    133,224.75x = 206,236.13 × 206,236.13
  4. Step 4: Simplify right side
    133,224.75x = 42,533,339,255.02
  5. Step 5: Solve for x
    x = 42,533,339,255.02/133,224.75
  6. Step 6: Final answer
    x = 319,260.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.