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Finding the Third Proportional to 10,419 and 11,931

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Solution

The third proportional to 10,419 and 11,931 is: 13,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419 : 11,931 = 11,931 : x
  2. Step 2: Convert to fraction form
    10,419/11,931 = 11,931/x
  3. Step 3: Cross multiply
    10,419x = 11,931 × 11,931
  4. Step 4: Simplify right side
    10,419x = 142,348,761
  5. Step 5: Solve for x
    x = 142,348,761/10,419
  6. Step 6: Final answer
    x = 13,662.42

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.