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Finding the Third Proportional to 8,231.63 and 10,128.80

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Solution

The third proportional to 8,231.63 and 10,128.80 is: 12,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.63 : 10,128.80 = 10,128.80 : x
  2. Step 2: Convert to fraction form
    8,231.63/10,128.80 = 10,128.80/x
  3. Step 3: Cross multiply
    8,231.63x = 10,128.80 × 10,128.80
  4. Step 4: Simplify right side
    8,231.63x = 102,592,526.14
  5. Step 5: Solve for x
    x = 102,592,526.14/8,231.63
  6. Step 6: Final answer
    x = 12,463.22

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.