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Finding the Third Proportional to 21,338 and 28,550

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Solution

The third proportional to 21,338 and 28,550 is: 38,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338 : 28,550 = 28,550 : x
  2. Step 2: Convert to fraction form
    21,338/28,550 = 28,550/x
  3. Step 3: Cross multiply
    21,338x = 28,550 × 28,550
  4. Step 4: Simplify right side
    21,338x = 815,102,500
  5. Step 5: Solve for x
    x = 815,102,500/21,338
  6. Step 6: Final answer
    x = 38,199.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.