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Finding the Third Proportional to 312,424 and 672,314

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Solution

The third proportional to 312,424 and 672,314 is: 1,446,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,424 : 672,314 = 672,314 : x
  2. Step 2: Convert to fraction form
    312,424/672,314 = 672,314/x
  3. Step 3: Cross multiply
    312,424x = 672,314 × 672,314
  4. Step 4: Simplify right side
    312,424x = 452,006,114,596
  5. Step 5: Solve for x
    x = 452,006,114,596/312,424
  6. Step 6: Final answer
    x = 1,446,771.42

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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.