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Finding the Third Proportional to 120,629 and 177,339

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Solution

The third proportional to 120,629 and 177,339 is: 260,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,629 : 177,339 = 177,339 : x
  2. Step 2: Convert to fraction form
    120,629/177,339 = 177,339/x
  3. Step 3: Cross multiply
    120,629x = 177,339 × 177,339
  4. Step 4: Simplify right side
    120,629x = 31,449,120,921
  5. Step 5: Solve for x
    x = 31,449,120,921/120,629
  6. Step 6: Final answer
    x = 260,709.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.