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Finding the Third Proportional to 103,572 and 222,999

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Solution

The third proportional to 103,572 and 222,999 is: 480,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,572 : 222,999 = 222,999 : x
  2. Step 2: Convert to fraction form
    103,572/222,999 = 222,999/x
  3. Step 3: Cross multiply
    103,572x = 222,999 × 222,999
  4. Step 4: Simplify right side
    103,572x = 49,728,554,001
  5. Step 5: Solve for x
    x = 49,728,554,001/103,572
  6. Step 6: Final answer
    x = 480,135.11

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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.