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Finding the Third Proportional to 135,783 and 205,861

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Solution

The third proportional to 135,783 and 205,861 is: 312,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,783 : 205,861 = 205,861 : x
  2. Step 2: Convert to fraction form
    135,783/205,861 = 205,861/x
  3. Step 3: Cross multiply
    135,783x = 205,861 × 205,861
  4. Step 4: Simplify right side
    135,783x = 42,378,751,321
  5. Step 5: Solve for x
    x = 42,378,751,321/135,783
  6. Step 6: Final answer
    x = 312,106.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.