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Finding the Third Proportional to 102,447 and 222,390

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Solution

The third proportional to 102,447 and 222,390 is: 482,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,447 : 222,390 = 222,390 : x
  2. Step 2: Convert to fraction form
    102,447/222,390 = 222,390/x
  3. Step 3: Cross multiply
    102,447x = 222,390 × 222,390
  4. Step 4: Simplify right side
    102,447x = 49,457,312,100
  5. Step 5: Solve for x
    x = 49,457,312,100/102,447
  6. Step 6: Final answer
    x = 482,759.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.