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Finding the Third Proportional to 50,366 and 109,480

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Solution

The third proportional to 50,366 and 109,480 is: 237,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,366 : 109,480 = 109,480 : x
  2. Step 2: Convert to fraction form
    50,366/109,480 = 109,480/x
  3. Step 3: Cross multiply
    50,366x = 109,480 × 109,480
  4. Step 4: Simplify right side
    50,366x = 11,985,870,400
  5. Step 5: Solve for x
    x = 11,985,870,400/50,366
  6. Step 6: Final answer
    x = 237,975.43

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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.