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Finding the Third Proportional to 102,710 and 222,268

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Solution

The third proportional to 102,710 and 222,268 is: 480,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,710 : 222,268 = 222,268 : x
  2. Step 2: Convert to fraction form
    102,710/222,268 = 222,268/x
  3. Step 3: Cross multiply
    102,710x = 222,268 × 222,268
  4. Step 4: Simplify right side
    102,710x = 49,403,063,824
  5. Step 5: Solve for x
    x = 49,403,063,824/102,710
  6. Step 6: Final answer
    x = 480,995.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.