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Finding the Third Proportional to 222,109 and 341,660

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Solution

The third proportional to 222,109 and 341,660 is: 525,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,109 : 341,660 = 341,660 : x
  2. Step 2: Convert to fraction form
    222,109/341,660 = 341,660/x
  3. Step 3: Cross multiply
    222,109x = 341,660 × 341,660
  4. Step 4: Simplify right side
    222,109x = 116,731,555,600
  5. Step 5: Solve for x
    x = 116,731,555,600/222,109
  6. Step 6: Final answer
    x = 525,559.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.