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Finding the Third Proportional to 43,395 and 90,245

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Solution

The third proportional to 43,395 and 90,245 is: 187,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,395 : 90,245 = 90,245 : x
  2. Step 2: Convert to fraction form
    43,395/90,245 = 90,245/x
  3. Step 3: Cross multiply
    43,395x = 90,245 × 90,245
  4. Step 4: Simplify right side
    43,395x = 8,144,160,025
  5. Step 5: Solve for x
    x = 8,144,160,025/43,395
  6. Step 6: Final answer
    x = 187,675.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.