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Finding the Third Proportional to 10,402 and 11,878

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Solution

The third proportional to 10,402 and 11,878 is: 13,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402 : 11,878 = 11,878 : x
  2. Step 2: Convert to fraction form
    10,402/11,878 = 11,878/x
  3. Step 3: Cross multiply
    10,402x = 11,878 × 11,878
  4. Step 4: Simplify right side
    10,402x = 141,086,884
  5. Step 5: Solve for x
    x = 141,086,884/10,402
  6. Step 6: Final answer
    x = 13,563.44

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.