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Finding the Third Proportional to 131,931 and 311,130

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Solution

The third proportional to 131,931 and 311,130 is: 733,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,931 : 311,130 = 311,130 : x
  2. Step 2: Convert to fraction form
    131,931/311,130 = 311,130/x
  3. Step 3: Cross multiply
    131,931x = 311,130 × 311,130
  4. Step 4: Simplify right side
    131,931x = 96,801,876,900
  5. Step 5: Solve for x
    x = 96,801,876,900/131,931
  6. Step 6: Final answer
    x = 733,731.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.