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Finding the Third Proportional to 8,356.50 and 12,536.44

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Solution

The third proportional to 8,356.50 and 12,536.44 is: 18,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.50 : 12,536.44 = 12,536.44 : x
  2. Step 2: Convert to fraction form
    8,356.50/12,536.44 = 12,536.44/x
  3. Step 3: Cross multiply
    8,356.50x = 12,536.44 × 12,536.44
  4. Step 4: Simplify right side
    8,356.50x = 157,162,265.19
  5. Step 5: Solve for x
    x = 157,162,265.19/8,356.50
  6. Step 6: Final answer
    x = 18,807.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.