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Finding the Third Proportional to 103,497 and 222,546

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Solution

The third proportional to 103,497 and 222,546 is: 478,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,497 : 222,546 = 222,546 : x
  2. Step 2: Convert to fraction form
    103,497/222,546 = 222,546/x
  3. Step 3: Cross multiply
    103,497x = 222,546 × 222,546
  4. Step 4: Simplify right side
    103,497x = 49,526,722,116
  5. Step 5: Solve for x
    x = 49,526,722,116/103,497
  6. Step 6: Final answer
    x = 478,532.92

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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.