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Finding the Third Proportional to 166,422 and 357,720

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Solution

The third proportional to 166,422 and 357,720 is: 768,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,422 : 357,720 = 357,720 : x
  2. Step 2: Convert to fraction form
    166,422/357,720 = 357,720/x
  3. Step 3: Cross multiply
    166,422x = 357,720 × 357,720
  4. Step 4: Simplify right side
    166,422x = 127,963,598,400
  5. Step 5: Solve for x
    x = 127,963,598,400/166,422
  6. Step 6: Final answer
    x = 768,910.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.