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Finding the Third Proportional to 142,372 and 206,214

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Solution

The third proportional to 142,372 and 206,214 is: 298,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,372 : 206,214 = 206,214 : x
  2. Step 2: Convert to fraction form
    142,372/206,214 = 206,214/x
  3. Step 3: Cross multiply
    142,372x = 206,214 × 206,214
  4. Step 4: Simplify right side
    142,372x = 42,524,213,796
  5. Step 5: Solve for x
    x = 42,524,213,796/142,372
  6. Step 6: Final answer
    x = 298,683.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.