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Finding the Third Proportional to 205,311 and 307,131

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Solution

The third proportional to 205,311 and 307,131 is: 459,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,311 : 307,131 = 307,131 : x
  2. Step 2: Convert to fraction form
    205,311/307,131 = 307,131/x
  3. Step 3: Cross multiply
    205,311x = 307,131 × 307,131
  4. Step 4: Simplify right side
    205,311x = 94,329,451,161
  5. Step 5: Solve for x
    x = 94,329,451,161/205,311
  6. Step 6: Final answer
    x = 459,446.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.