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Finding the Third Proportional to 154,514 and 231,617

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Solution

The third proportional to 154,514 and 231,617 is: 347,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,514 : 231,617 = 231,617 : x
  2. Step 2: Convert to fraction form
    154,514/231,617 = 231,617/x
  3. Step 3: Cross multiply
    154,514x = 231,617 × 231,617
  4. Step 4: Simplify right side
    154,514x = 53,646,434,689
  5. Step 5: Solve for x
    x = 53,646,434,689/154,514
  6. Step 6: Final answer
    x = 347,194.65

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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.