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Finding the Third Proportional to 312,064 and 672,195

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Solution

The third proportional to 312,064 and 672,195 is: 1,447,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,064 : 672,195 = 672,195 : x
  2. Step 2: Convert to fraction form
    312,064/672,195 = 672,195/x
  3. Step 3: Cross multiply
    312,064x = 672,195 × 672,195
  4. Step 4: Simplify right side
    312,064x = 451,846,118,025
  5. Step 5: Solve for x
    x = 451,846,118,025/312,064
  6. Step 6: Final answer
    x = 1,447,927.73

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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.