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Finding the Third Proportional to 206,790 and 311,913

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Solution

The third proportional to 206,790 and 311,913 is: 470,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,790 : 311,913 = 311,913 : x
  2. Step 2: Convert to fraction form
    206,790/311,913 = 311,913/x
  3. Step 3: Cross multiply
    206,790x = 311,913 × 311,913
  4. Step 4: Simplify right side
    206,790x = 97,289,719,569
  5. Step 5: Solve for x
    x = 97,289,719,569/206,790
  6. Step 6: Final answer
    x = 470,475.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.