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Finding the Third Proportional to 15,480 and 20,141

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Solution

The third proportional to 15,480 and 20,141 is: 26,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,480 : 20,141 = 20,141 : x
  2. Step 2: Convert to fraction form
    15,480/20,141 = 20,141/x
  3. Step 3: Cross multiply
    15,480x = 20,141 × 20,141
  4. Step 4: Simplify right side
    15,480x = 405,659,881
  5. Step 5: Solve for x
    x = 405,659,881/15,480
  6. Step 6: Final answer
    x = 26,205.42

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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.