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Finding the Third Proportional to 133,006.50 and 204,442.88

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Solution

The third proportional to 133,006.50 and 204,442.88 is: 314,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,006.50 : 204,442.88 = 204,442.88 : x
  2. Step 2: Convert to fraction form
    133,006.50/204,442.88 = 204,442.88/x
  3. Step 3: Cross multiply
    133,006.50x = 204,442.88 × 204,442.88
  4. Step 4: Simplify right side
    133,006.50x = 41,796,889,138.27
  5. Step 5: Solve for x
    x = 41,796,889,138.27/133,006.50
  6. Step 6: Final answer
    x = 314,246.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.