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Finding the Third Proportional to 133,363 and 289,325

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Solution

The third proportional to 133,363 and 289,325 is: 627,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,363 : 289,325 = 289,325 : x
  2. Step 2: Convert to fraction form
    133,363/289,325 = 289,325/x
  3. Step 3: Cross multiply
    133,363x = 289,325 × 289,325
  4. Step 4: Simplify right side
    133,363x = 83,708,955,625
  5. Step 5: Solve for x
    x = 83,708,955,625/133,363
  6. Step 6: Final answer
    x = 627,677.51

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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.