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Finding the Third Proportional to 231,192 and 345,228.75

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Solution

The third proportional to 231,192 and 345,228.75 is: 515,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,192 : 345,228.75 = 345,228.75 : x
  2. Step 2: Convert to fraction form
    231,192/345,228.75 = 345,228.75/x
  3. Step 3: Cross multiply
    231,192x = 345,228.75 × 345,228.75
  4. Step 4: Simplify right side
    231,192x = 119,182,889,826.56
  5. Step 5: Solve for x
    x = 119,182,889,826.56/231,192
  6. Step 6: Final answer
    x = 515,514.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.