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Finding the Third Proportional to 15,511 and 22,155

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Solution

The third proportional to 15,511 and 22,155 is: 31,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,511 : 22,155 = 22,155 : x
  2. Step 2: Convert to fraction form
    15,511/22,155 = 22,155/x
  3. Step 3: Cross multiply
    15,511x = 22,155 × 22,155
  4. Step 4: Simplify right side
    15,511x = 490,844,025
  5. Step 5: Solve for x
    x = 490,844,025/15,511
  6. Step 6: Final answer
    x = 31,644.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.