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Finding the Third Proportional to 120,702 and 177,357

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Solution

The third proportional to 120,702 and 177,357 is: 260,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,702 : 177,357 = 177,357 : x
  2. Step 2: Convert to fraction form
    120,702/177,357 = 177,357/x
  3. Step 3: Cross multiply
    120,702x = 177,357 × 177,357
  4. Step 4: Simplify right side
    120,702x = 31,455,505,449
  5. Step 5: Solve for x
    x = 31,455,505,449/120,702
  6. Step 6: Final answer
    x = 260,604.67

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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.