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Finding the Third Proportional to 133,616 and 214,905

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Solution

The third proportional to 133,616 and 214,905 is: 345,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,616 : 214,905 = 214,905 : x
  2. Step 2: Convert to fraction form
    133,616/214,905 = 214,905/x
  3. Step 3: Cross multiply
    133,616x = 214,905 × 214,905
  4. Step 4: Simplify right side
    133,616x = 46,184,159,025
  5. Step 5: Solve for x
    x = 46,184,159,025/133,616
  6. Step 6: Final answer
    x = 345,648.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.