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Finding the Third Proportional to 15,171 and 22,639

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Solution

The third proportional to 15,171 and 22,639 is: 33,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171 : 22,639 = 22,639 : x
  2. Step 2: Convert to fraction form
    15,171/22,639 = 22,639/x
  3. Step 3: Cross multiply
    15,171x = 22,639 × 22,639
  4. Step 4: Simplify right side
    15,171x = 512,524,321
  5. Step 5: Solve for x
    x = 512,524,321/15,171
  6. Step 6: Final answer
    x = 33,783.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.