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Finding the Third Proportional to 312,078 and 672,366

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Solution

The third proportional to 312,078 and 672,366 is: 1,448,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,078 : 672,366 = 672,366 : x
  2. Step 2: Convert to fraction form
    312,078/672,366 = 672,366/x
  3. Step 3: Cross multiply
    312,078x = 672,366 × 672,366
  4. Step 4: Simplify right side
    312,078x = 452,076,037,956
  5. Step 5: Solve for x
    x = 452,076,037,956/312,078
  6. Step 6: Final answer
    x = 1,448,599.51

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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.