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Finding the Third Proportional to 75,310 and 162,279

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Solution

The third proportional to 75,310 and 162,279 is: 349,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,310 : 162,279 = 162,279 : x
  2. Step 2: Convert to fraction form
    75,310/162,279 = 162,279/x
  3. Step 3: Cross multiply
    75,310x = 162,279 × 162,279
  4. Step 4: Simplify right side
    75,310x = 26,334,473,841
  5. Step 5: Solve for x
    x = 26,334,473,841/75,310
  6. Step 6: Final answer
    x = 349,680.97

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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.