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Finding the Third Proportional to 155,814 and 338,124

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Solution

The third proportional to 155,814 and 338,124 is: 733,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,814 : 338,124 = 338,124 : x
  2. Step 2: Convert to fraction form
    155,814/338,124 = 338,124/x
  3. Step 3: Cross multiply
    155,814x = 338,124 × 338,124
  4. Step 4: Simplify right side
    155,814x = 114,327,839,376
  5. Step 5: Solve for x
    x = 114,327,839,376/155,814
  6. Step 6: Final answer
    x = 733,745.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.