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Finding the Third Proportional to 133,658 and 199,827

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Solution

The third proportional to 133,658 and 199,827 is: 298,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,658 : 199,827 = 199,827 : x
  2. Step 2: Convert to fraction form
    133,658/199,827 = 199,827/x
  3. Step 3: Cross multiply
    133,658x = 199,827 × 199,827
  4. Step 4: Simplify right side
    133,658x = 39,930,829,929
  5. Step 5: Solve for x
    x = 39,930,829,929/133,658
  6. Step 6: Final answer
    x = 298,753.76

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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.