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Finding the Third Proportional to 193,979 and 291,231

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Solution

The third proportional to 193,979 and 291,231 is: 437,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,979 : 291,231 = 291,231 : x
  2. Step 2: Convert to fraction form
    193,979/291,231 = 291,231/x
  3. Step 3: Cross multiply
    193,979x = 291,231 × 291,231
  4. Step 4: Simplify right side
    193,979x = 84,815,495,361
  5. Step 5: Solve for x
    x = 84,815,495,361/193,979
  6. Step 6: Final answer
    x = 437,240.61

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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.