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Finding the Third Proportional to 11,752 and 28,408

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Solution

The third proportional to 11,752 and 28,408 is: 68,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752 : 28,408 = 28,408 : x
  2. Step 2: Convert to fraction form
    11,752/28,408 = 28,408/x
  3. Step 3: Cross multiply
    11,752x = 28,408 × 28,408
  4. Step 4: Simplify right side
    11,752x = 807,014,464
  5. Step 5: Solve for x
    x = 807,014,464/11,752
  6. Step 6: Final answer
    x = 68,670.39

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.