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Finding the Third Proportional to 12,677 and 29,378

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Solution

The third proportional to 12,677 and 29,378 is: 68,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677 : 29,378 = 29,378 : x
  2. Step 2: Convert to fraction form
    12,677/29,378 = 29,378/x
  3. Step 3: Cross multiply
    12,677x = 29,378 × 29,378
  4. Step 4: Simplify right side
    12,677x = 863,066,884
  5. Step 5: Solve for x
    x = 863,066,884/12,677
  6. Step 6: Final answer
    x = 68,081.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.