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Finding the Third Proportional to 15,606 and 20,247

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Solution

The third proportional to 15,606 and 20,247 is: 26,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606 : 20,247 = 20,247 : x
  2. Step 2: Convert to fraction form
    15,606/20,247 = 20,247/x
  3. Step 3: Cross multiply
    15,606x = 20,247 × 20,247
  4. Step 4: Simplify right side
    15,606x = 409,941,009
  5. Step 5: Solve for x
    x = 409,941,009/15,606
  6. Step 6: Final answer
    x = 26,268.17

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.