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Finding the Third Proportional to 8,713.83 and 12,165.19

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Solution

The third proportional to 8,713.83 and 12,165.19 is: 16,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.83 : 12,165.19 = 12,165.19 : x
  2. Step 2: Convert to fraction form
    8,713.83/12,165.19 = 12,165.19/x
  3. Step 3: Cross multiply
    8,713.83x = 12,165.19 × 12,165.19
  4. Step 4: Simplify right side
    8,713.83x = 147,991,786.91
  5. Step 5: Solve for x
    x = 147,991,786.91/8,713.83
  6. Step 6: Final answer
    x = 16,983.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.