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Finding the Third Proportional to 120,276 and 170,962

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Solution

The third proportional to 120,276 and 170,962 is: 243,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,276 : 170,962 = 170,962 : x
  2. Step 2: Convert to fraction form
    120,276/170,962 = 170,962/x
  3. Step 3: Cross multiply
    120,276x = 170,962 × 170,962
  4. Step 4: Simplify right side
    120,276x = 29,228,005,444
  5. Step 5: Solve for x
    x = 29,228,005,444/120,276
  6. Step 6: Final answer
    x = 243,007.79

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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.