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Finding the Third Proportional to 6,901 and 8,981.50

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Solution

The third proportional to 6,901 and 8,981.50 is: 11,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901 : 8,981.50 = 8,981.50 : x
  2. Step 2: Convert to fraction form
    6,901/8,981.50 = 8,981.50/x
  3. Step 3: Cross multiply
    6,901x = 8,981.50 × 8,981.50
  4. Step 4: Simplify right side
    6,901x = 80,667,342.25
  5. Step 5: Solve for x
    x = 80,667,342.25/6,901
  6. Step 6: Final answer
    x = 11,689.23

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.