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Finding the Third Proportional to 164,217 and 355,422

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Solution

The third proportional to 164,217 and 355,422 is: 769,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,217 : 355,422 = 355,422 : x
  2. Step 2: Convert to fraction form
    164,217/355,422 = 355,422/x
  3. Step 3: Cross multiply
    164,217x = 355,422 × 355,422
  4. Step 4: Simplify right side
    164,217x = 126,324,798,084
  5. Step 5: Solve for x
    x = 126,324,798,084/164,217
  6. Step 6: Final answer
    x = 769,255.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.