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Finding the Third Proportional to 311,670.28 and 672,001.31

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Solution

The third proportional to 311,670.28 and 672,001.31 is: 1,448,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,670.28 : 672,001.31 = 672,001.31 : x
  2. Step 2: Convert to fraction form
    311,670.28/672,001.31 = 672,001.31/x
  3. Step 3: Cross multiply
    311,670.28x = 672,001.31 × 672,001.31
  4. Step 4: Simplify right side
    311,670.28x = 451,585,764,001.72
  5. Step 5: Solve for x
    x = 451,585,764,001.72/311,670.28
  6. Step 6: Final answer
    x = 1,448,921.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.