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Finding the Third Proportional to 166,710 and 355,288

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Solution

The third proportional to 166,710 and 355,288 is: 757,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,710 : 355,288 = 355,288 : x
  2. Step 2: Convert to fraction form
    166,710/355,288 = 355,288/x
  3. Step 3: Cross multiply
    166,710x = 355,288 × 355,288
  4. Step 4: Simplify right side
    166,710x = 126,229,562,944
  5. Step 5: Solve for x
    x = 126,229,562,944/166,710
  6. Step 6: Final answer
    x = 757,180.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.