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Finding the Third Proportional to 324,120 and 512,817

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Solution

The third proportional to 324,120 and 512,817 is: 811,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,120 : 512,817 = 512,817 : x
  2. Step 2: Convert to fraction form
    324,120/512,817 = 512,817/x
  3. Step 3: Cross multiply
    324,120x = 512,817 × 512,817
  4. Step 4: Simplify right side
    324,120x = 262,981,275,489
  5. Step 5: Solve for x
    x = 262,981,275,489/324,120
  6. Step 6: Final answer
    x = 811,370.10

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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.