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Finding the Third Proportional to 11,680 and 18,712

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Solution

The third proportional to 11,680 and 18,712 is: 29,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680 : 18,712 = 18,712 : x
  2. Step 2: Convert to fraction form
    11,680/18,712 = 18,712/x
  3. Step 3: Cross multiply
    11,680x = 18,712 × 18,712
  4. Step 4: Simplify right side
    11,680x = 350,138,944
  5. Step 5: Solve for x
    x = 350,138,944/11,680
  6. Step 6: Final answer
    x = 29,977.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.