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Finding the Third Proportional to 28,856 and 61,186

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Solution

The third proportional to 28,856 and 61,186 is: 129,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,856 : 61,186 = 61,186 : x
  2. Step 2: Convert to fraction form
    28,856/61,186 = 61,186/x
  3. Step 3: Cross multiply
    28,856x = 61,186 × 61,186
  4. Step 4: Simplify right side
    28,856x = 3,743,726,596
  5. Step 5: Solve for x
    x = 3,743,726,596/28,856
  6. Step 6: Final answer
    x = 129,738.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.