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Finding the Third Proportional to 11,600 and 18,677

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Solution

The third proportional to 11,600 and 18,677 is: 30,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600 : 18,677 = 18,677 : x
  2. Step 2: Convert to fraction form
    11,600/18,677 = 18,677/x
  3. Step 3: Cross multiply
    11,600x = 18,677 × 18,677
  4. Step 4: Simplify right side
    11,600x = 348,830,329
  5. Step 5: Solve for x
    x = 348,830,329/11,600
  6. Step 6: Final answer
    x = 30,071.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.