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Finding the Third Proportional to 11,705 and 18,047

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Solution

The third proportional to 11,705 and 18,047 is: 27,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705 : 18,047 = 18,047 : x
  2. Step 2: Convert to fraction form
    11,705/18,047 = 18,047/x
  3. Step 3: Cross multiply
    11,705x = 18,047 × 18,047
  4. Step 4: Simplify right side
    11,705x = 325,694,209
  5. Step 5: Solve for x
    x = 325,694,209/11,705
  6. Step 6: Final answer
    x = 27,825.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.