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Finding the Third Proportional to 102,019.50 and 222,108

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Solution

The third proportional to 102,019.50 and 222,108 is: 483,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,019.50 : 222,108 = 222,108 : x
  2. Step 2: Convert to fraction form
    102,019.50/222,108 = 222,108/x
  3. Step 3: Cross multiply
    102,019.50x = 222,108 × 222,108
  4. Step 4: Simplify right side
    102,019.50x = 49,331,963,664
  5. Step 5: Solve for x
    x = 49,331,963,664/102,019.50
  6. Step 6: Final answer
    x = 483,554.26

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