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Finding the Third Proportional to 201,939 and 316,809

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Solution

The third proportional to 201,939 and 316,809 is: 497,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,939 : 316,809 = 316,809 : x
  2. Step 2: Convert to fraction form
    201,939/316,809 = 316,809/x
  3. Step 3: Cross multiply
    201,939x = 316,809 × 316,809
  4. Step 4: Simplify right side
    201,939x = 100,367,942,481
  5. Step 5: Solve for x
    x = 100,367,942,481/201,939
  6. Step 6: Final answer
    x = 497,021.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.