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Finding the Third Proportional to 12,677 and 19,677

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Solution

The third proportional to 12,677 and 19,677 is: 30,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677 : 19,677 = 19,677 : x
  2. Step 2: Convert to fraction form
    12,677/19,677 = 19,677/x
  3. Step 3: Cross multiply
    12,677x = 19,677 × 19,677
  4. Step 4: Simplify right side
    12,677x = 387,184,329
  5. Step 5: Solve for x
    x = 387,184,329/12,677
  6. Step 6: Final answer
    x = 30,542.27

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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.