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Finding the Third Proportional to 312,325.88 and 672,006.38

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Solution

The third proportional to 312,325.88 and 672,006.38 is: 1,445,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,325.88 : 672,006.38 = 672,006.38 : x
  2. Step 2: Convert to fraction form
    312,325.88/672,006.38 = 672,006.38/x
  3. Step 3: Cross multiply
    312,325.88x = 672,006.38 × 672,006.38
  4. Step 4: Simplify right side
    312,325.88x = 451,592,568,040.64
  5. Step 5: Solve for x
    x = 451,592,568,040.64/312,325.88
  6. Step 6: Final answer
    x = 1,445,901.87

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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.