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Finding the Third Proportional to 109,615 and 235,866

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Solution

The third proportional to 109,615 and 235,866 is: 507,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,615 : 235,866 = 235,866 : x
  2. Step 2: Convert to fraction form
    109,615/235,866 = 235,866/x
  3. Step 3: Cross multiply
    109,615x = 235,866 × 235,866
  4. Step 4: Simplify right side
    109,615x = 55,632,769,956
  5. Step 5: Solve for x
    x = 55,632,769,956/109,615
  6. Step 6: Final answer
    x = 507,528.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.