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Finding the Third Proportional to 90,181.25 and 140,183.88

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Solution

The third proportional to 90,181.25 and 140,183.88 is: 217,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,181.25 : 140,183.88 = 140,183.88 : x
  2. Step 2: Convert to fraction form
    90,181.25/140,183.88 = 140,183.88/x
  3. Step 3: Cross multiply
    90,181.25x = 140,183.88 × 140,183.88
  4. Step 4: Simplify right side
    90,181.25x = 19,651,518,810.02
  5. Step 5: Solve for x
    x = 19,651,518,810.02/90,181.25
  6. Step 6: Final answer
    x = 217,911.36

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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.