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Finding the Third Proportional to 142,379 and 206,224

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Solution

The third proportional to 142,379 and 206,224 is: 298,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,379 : 206,224 = 206,224 : x
  2. Step 2: Convert to fraction form
    142,379/206,224 = 206,224/x
  3. Step 3: Cross multiply
    142,379x = 206,224 × 206,224
  4. Step 4: Simplify right side
    142,379x = 42,528,338,176
  5. Step 5: Solve for x
    x = 42,528,338,176/142,379
  6. Step 6: Final answer
    x = 298,698.11

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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.