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Finding the Third Proportional to 18,911.25 and 31,408.88

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Solution

The third proportional to 18,911.25 and 31,408.88 is: 52,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,911.25 : 31,408.88 = 31,408.88 : x
  2. Step 2: Convert to fraction form
    18,911.25/31,408.88 = 31,408.88/x
  3. Step 3: Cross multiply
    18,911.25x = 31,408.88 × 31,408.88
  4. Step 4: Simplify right side
    18,911.25x = 986,517,428.77
  5. Step 5: Solve for x
    x = 986,517,428.77/18,911.25
  6. Step 6: Final answer
    x = 52,165.64

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.