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Finding the Third Proportional to 36,118 and 51,489

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Solution

The third proportional to 36,118 and 51,489 is: 73,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,118 : 51,489 = 51,489 : x
  2. Step 2: Convert to fraction form
    36,118/51,489 = 51,489/x
  3. Step 3: Cross multiply
    36,118x = 51,489 × 51,489
  4. Step 4: Simplify right side
    36,118x = 2,651,117,121
  5. Step 5: Solve for x
    x = 2,651,117,121/36,118
  6. Step 6: Final answer
    x = 73,401.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.