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Finding the Third Proportional to 271,564 and 430,626

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Solution

The third proportional to 271,564 and 430,626 is: 682,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,564 : 430,626 = 430,626 : x
  2. Step 2: Convert to fraction form
    271,564/430,626 = 430,626/x
  3. Step 3: Cross multiply
    271,564x = 430,626 × 430,626
  4. Step 4: Simplify right side
    271,564x = 185,438,751,876
  5. Step 5: Solve for x
    x = 185,438,751,876/271,564
  6. Step 6: Final answer
    x = 682,854.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.