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Finding the Third Proportional to 12,658 and 20,119

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Solution

The third proportional to 12,658 and 20,119 is: 31,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658 : 20,119 = 20,119 : x
  2. Step 2: Convert to fraction form
    12,658/20,119 = 20,119/x
  3. Step 3: Cross multiply
    12,658x = 20,119 × 20,119
  4. Step 4: Simplify right side
    12,658x = 404,774,161
  5. Step 5: Solve for x
    x = 404,774,161/12,658
  6. Step 6: Final answer
    x = 31,977.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.