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Finding the Third Proportional to 162,272 and 218,400

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Solution

The third proportional to 162,272 and 218,400 is: 293,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,272 : 218,400 = 218,400 : x
  2. Step 2: Convert to fraction form
    162,272/218,400 = 218,400/x
  3. Step 3: Cross multiply
    162,272x = 218,400 × 218,400
  4. Step 4: Simplify right side
    162,272x = 47,698,560,000
  5. Step 5: Solve for x
    x = 47,698,560,000/162,272
  6. Step 6: Final answer
    x = 293,942.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.