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Finding the Third Proportional to 102,175 and 222,742

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Solution

The third proportional to 102,175 and 222,742 is: 485,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,175 : 222,742 = 222,742 : x
  2. Step 2: Convert to fraction form
    102,175/222,742 = 222,742/x
  3. Step 3: Cross multiply
    102,175x = 222,742 × 222,742
  4. Step 4: Simplify right side
    102,175x = 49,613,998,564
  5. Step 5: Solve for x
    x = 49,613,998,564/102,175
  6. Step 6: Final answer
    x = 485,578.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.