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Finding the Third Proportional to 43,319 and 90,043

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Solution

The third proportional to 43,319 and 90,043 is: 187,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,319 : 90,043 = 90,043 : x
  2. Step 2: Convert to fraction form
    43,319/90,043 = 90,043/x
  3. Step 3: Cross multiply
    43,319x = 90,043 × 90,043
  4. Step 4: Simplify right side
    43,319x = 8,107,741,849
  5. Step 5: Solve for x
    x = 8,107,741,849/43,319
  6. Step 6: Final answer
    x = 187,163.64

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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.