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Finding the Third Proportional to 36,911 and 57,309

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Solution

The third proportional to 36,911 and 57,309 is: 88,979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,911 : 57,309 = 57,309 : x
  2. Step 2: Convert to fraction form
    36,911/57,309 = 57,309/x
  3. Step 3: Cross multiply
    36,911x = 57,309 × 57,309
  4. Step 4: Simplify right side
    36,911x = 3,284,321,481
  5. Step 5: Solve for x
    x = 3,284,321,481/36,911
  6. Step 6: Final answer
    x = 88,979.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.