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Finding the Third Proportional to 28,468 and 61,147

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Solution

The third proportional to 28,468 and 61,147 is: 131,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,468 : 61,147 = 61,147 : x
  2. Step 2: Convert to fraction form
    28,468/61,147 = 61,147/x
  3. Step 3: Cross multiply
    28,468x = 61,147 × 61,147
  4. Step 4: Simplify right side
    28,468x = 3,738,955,609
  5. Step 5: Solve for x
    x = 3,738,955,609/28,468
  6. Step 6: Final answer
    x = 131,338.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.