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Finding the Third Proportional to 13,154 and 20,407

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Solution

The third proportional to 13,154 and 20,407 is: 31,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154 : 20,407 = 20,407 : x
  2. Step 2: Convert to fraction form
    13,154/20,407 = 20,407/x
  3. Step 3: Cross multiply
    13,154x = 20,407 × 20,407
  4. Step 4: Simplify right side
    13,154x = 416,445,649
  5. Step 5: Solve for x
    x = 416,445,649/13,154
  6. Step 6: Final answer
    x = 31,659.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.