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Finding the Third Proportional to 11,690 and 17,657

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Solution

The third proportional to 11,690 and 17,657 is: 26,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690 : 17,657 = 17,657 : x
  2. Step 2: Convert to fraction form
    11,690/17,657 = 17,657/x
  3. Step 3: Cross multiply
    11,690x = 17,657 × 17,657
  4. Step 4: Simplify right side
    11,690x = 311,769,649
  5. Step 5: Solve for x
    x = 311,769,649/11,690
  6. Step 6: Final answer
    x = 26,669.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.