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Finding the Third Proportional to 312,059.25 and 672,186.94

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Solution

The third proportional to 312,059.25 and 672,186.94 is: 1,447,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,059.25 : 672,186.94 = 672,186.94 : x
  2. Step 2: Convert to fraction form
    312,059.25/672,186.94 = 672,186.94/x
  3. Step 3: Cross multiply
    312,059.25x = 672,186.94 × 672,186.94
  4. Step 4: Simplify right side
    312,059.25x = 451,835,278,945.63
  5. Step 5: Solve for x
    x = 451,835,278,945.63/312,059.25
  6. Step 6: Final answer
    x = 1,447,915.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.