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Finding the Third Proportional to 102,480 and 222,912

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Solution

The third proportional to 102,480 and 222,912 is: 484,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,480 : 222,912 = 222,912 : x
  2. Step 2: Convert to fraction form
    102,480/222,912 = 222,912/x
  3. Step 3: Cross multiply
    102,480x = 222,912 × 222,912
  4. Step 4: Simplify right side
    102,480x = 49,689,759,744
  5. Step 5: Solve for x
    x = 49,689,759,744/102,480
  6. Step 6: Final answer
    x = 484,872.75

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Why These Related Problems?

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