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Finding the Third Proportional to 8,740.69 and 18,863.44

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Solution

The third proportional to 8,740.69 and 18,863.44 is: 40,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.69 : 18,863.44 = 18,863.44 : x
  2. Step 2: Convert to fraction form
    8,740.69/18,863.44 = 18,863.44/x
  3. Step 3: Cross multiply
    8,740.69x = 18,863.44 × 18,863.44
  4. Step 4: Simplify right side
    8,740.69x = 355,829,274.32
  5. Step 5: Solve for x
    x = 355,829,274.32/8,740.69
  6. Step 6: Final answer
    x = 40,709.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.