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Finding the Third Proportional to 131,771 and 282,131

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Solution

The third proportional to 131,771 and 282,131 is: 604,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,771 : 282,131 = 282,131 : x
  2. Step 2: Convert to fraction form
    131,771/282,131 = 282,131/x
  3. Step 3: Cross multiply
    131,771x = 282,131 × 282,131
  4. Step 4: Simplify right side
    131,771x = 79,597,901,161
  5. Step 5: Solve for x
    x = 79,597,901,161/131,771
  6. Step 6: Final answer
    x = 604,062.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.