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Finding the Third Proportional to 132,990 and 199,488

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Solution

The third proportional to 132,990 and 199,488 is: 299,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,990 : 199,488 = 199,488 : x
  2. Step 2: Convert to fraction form
    132,990/199,488 = 199,488/x
  3. Step 3: Cross multiply
    132,990x = 199,488 × 199,488
  4. Step 4: Simplify right side
    132,990x = 39,795,462,144
  5. Step 5: Solve for x
    x = 39,795,462,144/132,990
  6. Step 6: Final answer
    x = 299,236.50

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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.