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Finding the Third Proportional to 12,727.13 and 20,138.63

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Solution

The third proportional to 12,727.13 and 20,138.63 is: 31,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.13 : 20,138.63 = 20,138.63 : x
  2. Step 2: Convert to fraction form
    12,727.13/20,138.63 = 20,138.63/x
  3. Step 3: Cross multiply
    12,727.13x = 20,138.63 × 20,138.63
  4. Step 4: Simplify right side
    12,727.13x = 405,564,216.89
  5. Step 5: Solve for x
    x = 405,564,216.89/12,727.13
  6. Step 6: Final answer
    x = 31,866.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.