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Finding the Third Proportional to 15,511 and 27,785

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Solution

The third proportional to 15,511 and 27,785 is: 49,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,511 : 27,785 = 27,785 : x
  2. Step 2: Convert to fraction form
    15,511/27,785 = 27,785/x
  3. Step 3: Cross multiply
    15,511x = 27,785 × 27,785
  4. Step 4: Simplify right side
    15,511x = 772,006,225
  5. Step 5: Solve for x
    x = 772,006,225/15,511
  6. Step 6: Final answer
    x = 49,771.53

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.