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Finding the Third Proportional to 131,188 and 289,941

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Solution

The third proportional to 131,188 and 289,941 is: 640,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,188 : 289,941 = 289,941 : x
  2. Step 2: Convert to fraction form
    131,188/289,941 = 289,941/x
  3. Step 3: Cross multiply
    131,188x = 289,941 × 289,941
  4. Step 4: Simplify right side
    131,188x = 84,065,783,481
  5. Step 5: Solve for x
    x = 84,065,783,481/131,188
  6. Step 6: Final answer
    x = 640,803.91

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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.