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Finding the Third Proportional to 133,388 and 203,468

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Solution

The third proportional to 133,388 and 203,468 is: 310,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,388 : 203,468 = 203,468 : x
  2. Step 2: Convert to fraction form
    133,388/203,468 = 203,468/x
  3. Step 3: Cross multiply
    133,388x = 203,468 × 203,468
  4. Step 4: Simplify right side
    133,388x = 41,399,227,024
  5. Step 5: Solve for x
    x = 41,399,227,024/133,388
  6. Step 6: Final answer
    x = 310,366.95

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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.