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Finding the Third Proportional to 207,561 and 311,343

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Solution

The third proportional to 207,561 and 311,343 is: 467,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,561 : 311,343 = 311,343 : x
  2. Step 2: Convert to fraction form
    207,561/311,343 = 311,343/x
  3. Step 3: Cross multiply
    207,561x = 311,343 × 311,343
  4. Step 4: Simplify right side
    207,561x = 96,934,463,649
  5. Step 5: Solve for x
    x = 96,934,463,649/207,561
  6. Step 6: Final answer
    x = 467,016.75

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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.