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Finding the Third Proportional to 21,409 and 28,407

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Solution

The third proportional to 21,409 and 28,407 is: 37,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409 : 28,407 = 28,407 : x
  2. Step 2: Convert to fraction form
    21,409/28,407 = 28,407/x
  3. Step 3: Cross multiply
    21,409x = 28,407 × 28,407
  4. Step 4: Simplify right side
    21,409x = 806,957,649
  5. Step 5: Solve for x
    x = 806,957,649/21,409
  6. Step 6: Final answer
    x = 37,692.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.