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Finding the Third Proportional to 21,664 and 32,408

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Solution

The third proportional to 21,664 and 32,408 is: 48,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664 : 32,408 = 32,408 : x
  2. Step 2: Convert to fraction form
    21,664/32,408 = 32,408/x
  3. Step 3: Cross multiply
    21,664x = 32,408 × 32,408
  4. Step 4: Simplify right side
    21,664x = 1,050,278,464
  5. Step 5: Solve for x
    x = 1,050,278,464/21,664
  6. Step 6: Final answer
    x = 48,480.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.