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Finding the Third Proportional to 133,027 and 289,328

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Solution

The third proportional to 133,027 and 289,328 is: 629,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,027 : 289,328 = 289,328 : x
  2. Step 2: Convert to fraction form
    133,027/289,328 = 289,328/x
  3. Step 3: Cross multiply
    133,027x = 289,328 × 289,328
  4. Step 4: Simplify right side
    133,027x = 83,710,691,584
  5. Step 5: Solve for x
    x = 83,710,691,584/133,027
  6. Step 6: Final answer
    x = 629,275.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.