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Finding the Third Proportional to 162,134 and 218,271

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Solution

The third proportional to 162,134 and 218,271 is: 293,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,134 : 218,271 = 218,271 : x
  2. Step 2: Convert to fraction form
    162,134/218,271 = 218,271/x
  3. Step 3: Cross multiply
    162,134x = 218,271 × 218,271
  4. Step 4: Simplify right side
    162,134x = 47,642,229,441
  5. Step 5: Solve for x
    x = 47,642,229,441/162,134
  6. Step 6: Final answer
    x = 293,844.78

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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.