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Finding the Third Proportional to 131,186 and 283,108

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Solution

The third proportional to 131,186 and 283,108 is: 610,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,186 : 283,108 = 283,108 : x
  2. Step 2: Convert to fraction form
    131,186/283,108 = 283,108/x
  3. Step 3: Cross multiply
    131,186x = 283,108 × 283,108
  4. Step 4: Simplify right side
    131,186x = 80,150,139,664
  5. Step 5: Solve for x
    x = 80,150,139,664/131,186
  6. Step 6: Final answer
    x = 610,965.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.