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Finding the Third Proportional to 201,948 and 313,567

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Solution

The third proportional to 201,948 and 313,567 is: 486,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,948 : 313,567 = 313,567 : x
  2. Step 2: Convert to fraction form
    201,948/313,567 = 313,567/x
  3. Step 3: Cross multiply
    201,948x = 313,567 × 313,567
  4. Step 4: Simplify right side
    201,948x = 98,324,263,489
  5. Step 5: Solve for x
    x = 98,324,263,489/201,948
  6. Step 6: Final answer
    x = 486,879.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.