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Finding the Third Proportional to 120,906 and 171,909

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Solution

The third proportional to 120,906 and 171,909 is: 244,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,906 : 171,909 = 171,909 : x
  2. Step 2: Convert to fraction form
    120,906/171,909 = 171,909/x
  3. Step 3: Cross multiply
    120,906x = 171,909 × 171,909
  4. Step 4: Simplify right side
    120,906x = 29,552,704,281
  5. Step 5: Solve for x
    x = 29,552,704,281/120,906
  6. Step 6: Final answer
    x = 244,427.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.