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Finding the Third Proportional to 213,129 and 355,167

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Solution

The third proportional to 213,129 and 355,167 is: 591,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,129 : 355,167 = 355,167 : x
  2. Step 2: Convert to fraction form
    213,129/355,167 = 355,167/x
  3. Step 3: Cross multiply
    213,129x = 355,167 × 355,167
  4. Step 4: Simplify right side
    213,129x = 126,143,597,889
  5. Step 5: Solve for x
    x = 126,143,597,889/213,129
  6. Step 6: Final answer
    x = 591,865.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.