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Finding the Third Proportional to 43,399 and 90,253

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Solution

The third proportional to 43,399 and 90,253 is: 187,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,399 : 90,253 = 90,253 : x
  2. Step 2: Convert to fraction form
    43,399/90,253 = 90,253/x
  3. Step 3: Cross multiply
    43,399x = 90,253 × 90,253
  4. Step 4: Simplify right side
    43,399x = 8,145,604,009
  5. Step 5: Solve for x
    x = 8,145,604,009/43,399
  6. Step 6: Final answer
    x = 187,691.05

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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.