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Finding the Third Proportional to 8,231.63 and 13,247.30

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Solution

The third proportional to 8,231.63 and 13,247.30 is: 21,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.63 : 13,247.30 = 13,247.30 : x
  2. Step 2: Convert to fraction form
    8,231.63/13,247.30 = 13,247.30/x
  3. Step 3: Cross multiply
    8,231.63x = 13,247.30 × 13,247.30
  4. Step 4: Simplify right side
    8,231.63x = 175,490,874.49
  5. Step 5: Solve for x
    x = 175,490,874.49/8,231.63
  6. Step 6: Final answer
    x = 21,319.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.