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Finding the Third Proportional to 50,438 and 109,612

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Solution

The third proportional to 50,438 and 109,612 is: 238,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,438 : 109,612 = 109,612 : x
  2. Step 2: Convert to fraction form
    50,438/109,612 = 109,612/x
  3. Step 3: Cross multiply
    50,438x = 109,612 × 109,612
  4. Step 4: Simplify right side
    50,438x = 12,014,790,544
  5. Step 5: Solve for x
    x = 12,014,790,544/50,438
  6. Step 6: Final answer
    x = 238,209.10

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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.