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Finding the Third Proportional to 87,050 and 130,245

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Solution

The third proportional to 87,050 and 130,245 is: 194,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,050 : 130,245 = 130,245 : x
  2. Step 2: Convert to fraction form
    87,050/130,245 = 130,245/x
  3. Step 3: Cross multiply
    87,050x = 130,245 × 130,245
  4. Step 4: Simplify right side
    87,050x = 16,963,760,025
  5. Step 5: Solve for x
    x = 16,963,760,025/87,050
  6. Step 6: Final answer
    x = 194,873.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.