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Finding the Third Proportional to 8,708.45 and 13,343.80

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Solution

The third proportional to 8,708.45 and 13,343.80 is: 20,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,708.45 : 13,343.80 = 13,343.80 : x
  2. Step 2: Convert to fraction form
    8,708.45/13,343.80 = 13,343.80/x
  3. Step 3: Cross multiply
    8,708.45x = 13,343.80 × 13,343.80
  4. Step 4: Simplify right side
    8,708.45x = 178,057,019.29
  5. Step 5: Solve for x
    x = 178,057,019.29/8,708.45
  6. Step 6: Final answer
    x = 20,446.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.