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Finding the Third Proportional to 8,299.13 and 12,445.31

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Solution

The third proportional to 8,299.13 and 12,445.31 is: 18,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.13 : 12,445.31 = 12,445.31 : x
  2. Step 2: Convert to fraction form
    8,299.13/12,445.31 = 12,445.31/x
  3. Step 3: Cross multiply
    8,299.13x = 12,445.31 × 12,445.31
  4. Step 4: Simplify right side
    8,299.13x = 154,885,803.22
  5. Step 5: Solve for x
    x = 154,885,803.22/8,299.13
  6. Step 6: Final answer
    x = 18,662.91

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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.