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Finding the Third Proportional to 229,170 and 354,123

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Solution

The third proportional to 229,170 and 354,123 is: 547,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,170 : 354,123 = 354,123 : x
  2. Step 2: Convert to fraction form
    229,170/354,123 = 354,123/x
  3. Step 3: Cross multiply
    229,170x = 354,123 × 354,123
  4. Step 4: Simplify right side
    229,170x = 125,403,099,129
  5. Step 5: Solve for x
    x = 125,403,099,129/229,170
  6. Step 6: Final answer
    x = 547,205.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.