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Finding the Third Proportional to 104,534 and 222,552

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Solution

The third proportional to 104,534 and 222,552 is: 473,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,534 : 222,552 = 222,552 : x
  2. Step 2: Convert to fraction form
    104,534/222,552 = 222,552/x
  3. Step 3: Cross multiply
    104,534x = 222,552 × 222,552
  4. Step 4: Simplify right side
    104,534x = 49,529,392,704
  5. Step 5: Solve for x
    x = 49,529,392,704/104,534
  6. Step 6: Final answer
    x = 473,811.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.