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Finding the Third Proportional to 40,900 and 87,704

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Solution

The third proportional to 40,900 and 87,704 is: 188,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,900 : 87,704 = 87,704 : x
  2. Step 2: Convert to fraction form
    40,900/87,704 = 87,704/x
  3. Step 3: Cross multiply
    40,900x = 87,704 × 87,704
  4. Step 4: Simplify right side
    40,900x = 7,691,991,616
  5. Step 5: Solve for x
    x = 7,691,991,616/40,900
  6. Step 6: Final answer
    x = 188,068.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.