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Finding the Third Proportional to 21,189 and 28,117

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Solution

The third proportional to 21,189 and 28,117 is: 37,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189 : 28,117 = 28,117 : x
  2. Step 2: Convert to fraction form
    21,189/28,117 = 28,117/x
  3. Step 3: Cross multiply
    21,189x = 28,117 × 28,117
  4. Step 4: Simplify right side
    21,189x = 790,565,689
  5. Step 5: Solve for x
    x = 790,565,689/21,189
  6. Step 6: Final answer
    x = 37,310.19

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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.