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Finding the Third Proportional to 225,814 and 338,740

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Solution

The third proportional to 225,814 and 338,740 is: 508,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,814 : 338,740 = 338,740 : x
  2. Step 2: Convert to fraction form
    225,814/338,740 = 338,740/x
  3. Step 3: Cross multiply
    225,814x = 338,740 × 338,740
  4. Step 4: Simplify right side
    225,814x = 114,744,787,600
  5. Step 5: Solve for x
    x = 114,744,787,600/225,814
  6. Step 6: Final answer
    x = 508,138.50

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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.