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Finding the Third Proportional to 331,143.19 and 715,204.69

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Solution

The third proportional to 331,143.19 and 715,204.69 is: 1,544,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,143.19 : 715,204.69 = 715,204.69 : x
  2. Step 2: Convert to fraction form
    331,143.19/715,204.69 = 715,204.69/x
  3. Step 3: Cross multiply
    331,143.19x = 715,204.69 × 715,204.69
  4. Step 4: Simplify right side
    331,143.19x = 511,517,745,021.97
  5. Step 5: Solve for x
    x = 511,517,745,021.97/331,143.19
  6. Step 6: Final answer
    x = 1,544,702.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.