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Finding the Third Proportional to 133,078 and 199,617

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Solution

The third proportional to 133,078 and 199,617 is: 299,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078 : 199,617 = 199,617 : x
  2. Step 2: Convert to fraction form
    133,078/199,617 = 199,617/x
  3. Step 3: Cross multiply
    133,078x = 199,617 × 199,617
  4. Step 4: Simplify right side
    133,078x = 39,846,946,689
  5. Step 5: Solve for x
    x = 39,846,946,689/133,078
  6. Step 6: Final answer
    x = 299,425.50

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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.