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Finding the Third Proportional to 43,503 and 90,759

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Solution

The third proportional to 43,503 and 90,759 is: 189,347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,503 : 90,759 = 90,759 : x
  2. Step 2: Convert to fraction form
    43,503/90,759 = 90,759/x
  3. Step 3: Cross multiply
    43,503x = 90,759 × 90,759
  4. Step 4: Simplify right side
    43,503x = 8,237,196,081
  5. Step 5: Solve for x
    x = 8,237,196,081/43,503
  6. Step 6: Final answer
    x = 189,347.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.