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Finding the Third Proportional to 101,284 and 222,008

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Solution

The third proportional to 101,284 and 222,008 is: 486,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,284 : 222,008 = 222,008 : x
  2. Step 2: Convert to fraction form
    101,284/222,008 = 222,008/x
  3. Step 3: Cross multiply
    101,284x = 222,008 × 222,008
  4. Step 4: Simplify right side
    101,284x = 49,287,552,064
  5. Step 5: Solve for x
    x = 49,287,552,064/101,284
  6. Step 6: Final answer
    x = 486,627.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.