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Finding the Third Proportional to 13,958 and 20,948

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Solution

The third proportional to 13,958 and 20,948 is: 31,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958 : 20,948 = 20,948 : x
  2. Step 2: Convert to fraction form
    13,958/20,948 = 20,948/x
  3. Step 3: Cross multiply
    13,958x = 20,948 × 20,948
  4. Step 4: Simplify right side
    13,958x = 438,818,704
  5. Step 5: Solve for x
    x = 438,818,704/13,958
  6. Step 6: Final answer
    x = 31,438.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.