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Finding the Third Proportional to 8,514 and 12,782.75

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Solution

The third proportional to 8,514 and 12,782.75 is: 19,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514 : 12,782.75 = 12,782.75 : x
  2. Step 2: Convert to fraction form
    8,514/12,782.75 = 12,782.75/x
  3. Step 3: Cross multiply
    8,514x = 12,782.75 × 12,782.75
  4. Step 4: Simplify right side
    8,514x = 163,398,697.56
  5. Step 5: Solve for x
    x = 163,398,697.56/8,514
  6. Step 6: Final answer
    x = 19,191.77

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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.