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Finding the Third Proportional to 120,276 and 261,054

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Solution

The third proportional to 120,276 and 261,054 is: 566,606.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,276 : 261,054 = 261,054 : x
  2. Step 2: Convert to fraction form
    120,276/261,054 = 261,054/x
  3. Step 3: Cross multiply
    120,276x = 261,054 × 261,054
  4. Step 4: Simplify right side
    120,276x = 68,149,190,916
  5. Step 5: Solve for x
    x = 68,149,190,916/120,276
  6. Step 6: Final answer
    x = 566,606.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.