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Finding the Third Proportional to 133,400 and 203,488

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Solution

The third proportional to 133,400 and 203,488 is: 310,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,400 : 203,488 = 203,488 : x
  2. Step 2: Convert to fraction form
    133,400/203,488 = 203,488/x
  3. Step 3: Cross multiply
    133,400x = 203,488 × 203,488
  4. Step 4: Simplify right side
    133,400x = 41,407,366,144
  5. Step 5: Solve for x
    x = 41,407,366,144/133,400
  6. Step 6: Final answer
    x = 310,400.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.