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Finding the Third Proportional to 210,198.38 and 455,388.75

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Solution

The third proportional to 210,198.38 and 455,388.75 is: 986,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,198.38 : 455,388.75 = 455,388.75 : x
  2. Step 2: Convert to fraction form
    210,198.38/455,388.75 = 455,388.75/x
  3. Step 3: Cross multiply
    210,198.38x = 455,388.75 × 455,388.75
  4. Step 4: Simplify right side
    210,198.38x = 207,378,913,626.56
  5. Step 5: Solve for x
    x = 207,378,913,626.56/210,198.38
  6. Step 6: Final answer
    x = 986,586.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.