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Finding the Third Proportional to 12,129.75 and 28,765.13

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Solution

The third proportional to 12,129.75 and 28,765.13 is: 68,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.75 : 28,765.13 = 28,765.13 : x
  2. Step 2: Convert to fraction form
    12,129.75/28,765.13 = 28,765.13/x
  3. Step 3: Cross multiply
    12,129.75x = 28,765.13 × 28,765.13
  4. Step 4: Simplify right side
    12,129.75x = 827,432,416.27
  5. Step 5: Solve for x
    x = 827,432,416.27/12,129.75
  6. Step 6: Final answer
    x = 68,215.13

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.