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Finding the Third Proportional to 415,221.75 and 650,508.75

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Solution

The third proportional to 415,221.75 and 650,508.75 is: 1,019,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,221.75 : 650,508.75 = 650,508.75 : x
  2. Step 2: Convert to fraction form
    415,221.75/650,508.75 = 650,508.75/x
  3. Step 3: Cross multiply
    415,221.75x = 650,508.75 × 650,508.75
  4. Step 4: Simplify right side
    415,221.75x = 423,161,633,826.56
  5. Step 5: Solve for x
    x = 423,161,633,826.56/415,221.75
  6. Step 6: Final answer
    x = 1,019,122.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.