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Finding the Third Proportional to 142,251 and 213,754

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Solution

The third proportional to 142,251 and 213,754 is: 321,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,251 : 213,754 = 213,754 : x
  2. Step 2: Convert to fraction form
    142,251/213,754 = 213,754/x
  3. Step 3: Cross multiply
    142,251x = 213,754 × 213,754
  4. Step 4: Simplify right side
    142,251x = 45,690,772,516
  5. Step 5: Solve for x
    x = 45,690,772,516/142,251
  6. Step 6: Final answer
    x = 321,198.25

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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.