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Finding the Third Proportional to 331,085 and 512,555

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Solution

The third proportional to 331,085 and 512,555 is: 793,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,085 : 512,555 = 512,555 : x
  2. Step 2: Convert to fraction form
    331,085/512,555 = 512,555/x
  3. Step 3: Cross multiply
    331,085x = 512,555 × 512,555
  4. Step 4: Simplify right side
    331,085x = 262,712,628,025
  5. Step 5: Solve for x
    x = 262,712,628,025/331,085
  6. Step 6: Final answer
    x = 793,489.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.