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Finding the Third Proportional to 142,249 and 213,751

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Solution

The third proportional to 142,249 and 213,751 is: 321,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,249 : 213,751 = 213,751 : x
  2. Step 2: Convert to fraction form
    142,249/213,751 = 213,751/x
  3. Step 3: Cross multiply
    142,249x = 213,751 × 213,751
  4. Step 4: Simplify right side
    142,249x = 45,689,490,001
  5. Step 5: Solve for x
    x = 45,689,490,001/142,249
  6. Step 6: Final answer
    x = 321,193.75

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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.