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Finding the Third Proportional to 516,100 and 1,214,279

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Solution

The third proportional to 516,100 and 1,214,279 is: 2,856,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,100 : 1,214,279 = 1,214,279 : x
  2. Step 2: Convert to fraction form
    516,100/1,214,279 = 1,214,279/x
  3. Step 3: Cross multiply
    516,100x = 1,214,279 × 1,214,279
  4. Step 4: Simplify right side
    516,100x = 1,474,473,489,841
  5. Step 5: Solve for x
    x = 1,474,473,489,841/516,100
  6. Step 6: Final answer
    x = 2,856,953.09

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.