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Finding the Third Proportional to 10,256 and 11,408

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Solution

The third proportional to 10,256 and 11,408 is: 12,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256 : 11,408 = 11,408 : x
  2. Step 2: Convert to fraction form
    10,256/11,408 = 11,408/x
  3. Step 3: Cross multiply
    10,256x = 11,408 × 11,408
  4. Step 4: Simplify right side
    10,256x = 130,142,464
  5. Step 5: Solve for x
    x = 130,142,464/10,256
  6. Step 6: Final answer
    x = 12,689.40

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.