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Finding the Third Proportional to 50,400 and 82,989

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Solution

The third proportional to 50,400 and 82,989 is: 136,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,400 : 82,989 = 82,989 : x
  2. Step 2: Convert to fraction form
    50,400/82,989 = 82,989/x
  3. Step 3: Cross multiply
    50,400x = 82,989 × 82,989
  4. Step 4: Simplify right side
    50,400x = 6,887,174,121
  5. Step 5: Solve for x
    x = 6,887,174,121/50,400
  6. Step 6: Final answer
    x = 136,650.28

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.