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Finding the Third Proportional to 101,438 and 223,612

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Solution

The third proportional to 101,438 and 223,612 is: 492,934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,438 : 223,612 = 223,612 : x
  2. Step 2: Convert to fraction form
    101,438/223,612 = 223,612/x
  3. Step 3: Cross multiply
    101,438x = 223,612 × 223,612
  4. Step 4: Simplify right side
    101,438x = 50,002,326,544
  5. Step 5: Solve for x
    x = 50,002,326,544/101,438
  6. Step 6: Final answer
    x = 492,934.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.