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Finding the Third Proportional to 331,111.13 and 512,583.19

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Solution

The third proportional to 331,111.13 and 512,583.19 is: 793,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,111.13 : 512,583.19 = 512,583.19 : x
  2. Step 2: Convert to fraction form
    331,111.13/512,583.19 = 512,583.19/x
  3. Step 3: Cross multiply
    331,111.13x = 512,583.19 × 512,583.19
  4. Step 4: Simplify right side
    331,111.13x = 262,741,524,107.66
  5. Step 5: Solve for x
    x = 262,741,524,107.66/331,111.13
  6. Step 6: Final answer
    x = 793,514.64

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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.