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Finding the Third Proportional to 9,087 and 12,859.50

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Solution

The third proportional to 9,087 and 12,859.50 is: 18,198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087 : 12,859.50 = 12,859.50 : x
  2. Step 2: Convert to fraction form
    9,087/12,859.50 = 12,859.50/x
  3. Step 3: Cross multiply
    9,087x = 12,859.50 × 12,859.50
  4. Step 4: Simplify right side
    9,087x = 165,366,740.25
  5. Step 5: Solve for x
    x = 165,366,740.25/9,087
  6. Step 6: Final answer
    x = 18,198.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.