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Finding the Third Proportional to 8,713.83 and 12,660.68

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Solution

The third proportional to 8,713.83 and 12,660.68 is: 18,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.83 : 12,660.68 = 12,660.68 : x
  2. Step 2: Convert to fraction form
    8,713.83/12,660.68 = 12,660.68/x
  3. Step 3: Cross multiply
    8,713.83x = 12,660.68 × 12,660.68
  4. Step 4: Simplify right side
    8,713.83x = 160,292,810.15
  5. Step 5: Solve for x
    x = 160,292,810.15/8,713.83
  6. Step 6: Final answer
    x = 18,395.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.