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Finding the Third Proportional to 43,396 and 90,247

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Solution

The third proportional to 43,396 and 90,247 is: 187,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,396 : 90,247 = 90,247 : x
  2. Step 2: Convert to fraction form
    43,396/90,247 = 90,247/x
  3. Step 3: Cross multiply
    43,396x = 90,247 × 90,247
  4. Step 4: Simplify right side
    43,396x = 8,144,521,009
  5. Step 5: Solve for x
    x = 8,144,521,009/43,396
  6. Step 6: Final answer
    x = 187,679.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.