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Finding the Third Proportional to 28,857 and 61,869

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Solution

The third proportional to 28,857 and 61,869 is: 132,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,857 : 61,869 = 61,869 : x
  2. Step 2: Convert to fraction form
    28,857/61,869 = 61,869/x
  3. Step 3: Cross multiply
    28,857x = 61,869 × 61,869
  4. Step 4: Simplify right side
    28,857x = 3,827,773,161
  5. Step 5: Solve for x
    x = 3,827,773,161/28,857
  6. Step 6: Final answer
    x = 132,646.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.