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Finding the Third Proportional to 13,029.75 and 20,187.75

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Solution

The third proportional to 13,029.75 and 20,187.75 is: 31,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.75 : 20,187.75 = 20,187.75 : x
  2. Step 2: Convert to fraction form
    13,029.75/20,187.75 = 20,187.75/x
  3. Step 3: Cross multiply
    13,029.75x = 20,187.75 × 20,187.75
  4. Step 4: Simplify right side
    13,029.75x = 407,545,250.06
  5. Step 5: Solve for x
    x = 407,545,250.06/13,029.75
  6. Step 6: Final answer
    x = 31,278.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.