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Finding the Third Proportional to 162,400 and 354,311

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Solution

The third proportional to 162,400 and 354,311 is: 773,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,400 : 354,311 = 354,311 : x
  2. Step 2: Convert to fraction form
    162,400/354,311 = 354,311/x
  3. Step 3: Cross multiply
    162,400x = 354,311 × 354,311
  4. Step 4: Simplify right side
    162,400x = 125,536,284,721
  5. Step 5: Solve for x
    x = 125,536,284,721/162,400
  6. Step 6: Final answer
    x = 773,006.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.