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Finding the Third Proportional to 133,031 and 289,027

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Solution

The third proportional to 133,031 and 289,027 is: 627,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,031 : 289,027 = 289,027 : x
  2. Step 2: Convert to fraction form
    133,031/289,027 = 289,027/x
  3. Step 3: Cross multiply
    133,031x = 289,027 × 289,027
  4. Step 4: Simplify right side
    133,031x = 83,536,606,729
  5. Step 5: Solve for x
    x = 83,536,606,729/133,031
  6. Step 6: Final answer
    x = 627,948.42

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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.