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Finding the Third Proportional to 36,285 and 54,639

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Solution

The third proportional to 36,285 and 54,639 is: 82,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,285 : 54,639 = 54,639 : x
  2. Step 2: Convert to fraction form
    36,285/54,639 = 54,639/x
  3. Step 3: Cross multiply
    36,285x = 54,639 × 54,639
  4. Step 4: Simplify right side
    36,285x = 2,985,420,321
  5. Step 5: Solve for x
    x = 2,985,420,321/36,285
  6. Step 6: Final answer
    x = 82,276.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.