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Finding the Third Proportional to 131,190 and 289,945

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Solution

The third proportional to 131,190 and 289,945 is: 640,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,190 : 289,945 = 289,945 : x
  2. Step 2: Convert to fraction form
    131,190/289,945 = 289,945/x
  3. Step 3: Cross multiply
    131,190x = 289,945 × 289,945
  4. Step 4: Simplify right side
    131,190x = 84,068,103,025
  5. Step 5: Solve for x
    x = 84,068,103,025/131,190
  6. Step 6: Final answer
    x = 640,811.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.