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Finding the Third Proportional to 12,977 and 20,073

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Solution

The third proportional to 12,977 and 20,073 is: 31,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977 : 20,073 = 20,073 : x
  2. Step 2: Convert to fraction form
    12,977/20,073 = 20,073/x
  3. Step 3: Cross multiply
    12,977x = 20,073 × 20,073
  4. Step 4: Simplify right side
    12,977x = 402,925,329
  5. Step 5: Solve for x
    x = 402,925,329/12,977
  6. Step 6: Final answer
    x = 31,049.19

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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.