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Finding the Third Proportional to 324,124 and 512,823

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Solution

The third proportional to 324,124 and 512,823 is: 811,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,124 : 512,823 = 512,823 : x
  2. Step 2: Convert to fraction form
    324,124/512,823 = 512,823/x
  3. Step 3: Cross multiply
    324,124x = 512,823 × 512,823
  4. Step 4: Simplify right side
    324,124x = 262,987,429,329
  5. Step 5: Solve for x
    x = 262,987,429,329/324,124
  6. Step 6: Final answer
    x = 811,379.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.