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Finding the Third Proportional to 312,175,872 and 672,299,520

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Solution

The third proportional to 312,175,872 and 672,299,520 is: 1,447,858,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,175,872 : 672,299,520 = 672,299,520 : x
  2. Step 2: Convert to fraction form
    312,175,872/672,299,520 = 672,299,520/x
  3. Step 3: Cross multiply
    312,175,872x = 672,299,520 × 672,299,520
  4. Step 4: Simplify right side
    312,175,872x = 451,986,644,592,230,400
  5. Step 5: Solve for x
    x = 451,986,644,592,230,400/312,175,872
  6. Step 6: Final answer
    x = 1,447,858,995.95

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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.