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Finding the Third Proportional to 312,165.50 and 672,923

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Solution

The third proportional to 312,165.50 and 672,923 is: 1,450,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,165.50 : 672,923 = 672,923 : x
  2. Step 2: Convert to fraction form
    312,165.50/672,923 = 672,923/x
  3. Step 3: Cross multiply
    312,165.50x = 672,923 × 672,923
  4. Step 4: Simplify right side
    312,165.50x = 452,825,363,929
  5. Step 5: Solve for x
    x = 452,825,363,929/312,165.50
  6. Step 6: Final answer
    x = 1,450,593.88

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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.