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Finding the Third Proportional to 8,574.75 and 12,859.88

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Solution

The third proportional to 8,574.75 and 12,859.88 is: 19,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.75 : 12,859.88 = 12,859.88 : x
  2. Step 2: Convert to fraction form
    8,574.75/12,859.88 = 12,859.88/x
  3. Step 3: Cross multiply
    8,574.75x = 12,859.88 × 12,859.88
  4. Step 4: Simplify right side
    8,574.75x = 165,376,385.02
  5. Step 5: Solve for x
    x = 165,376,385.02/8,574.75
  6. Step 6: Final answer
    x = 19,286.44

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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.