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Finding the Third Proportional to 321,846.75 and 509,523.75

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Solution

The third proportional to 321,846.75 and 509,523.75 is: 806,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,846.75 : 509,523.75 = 509,523.75 : x
  2. Step 2: Convert to fraction form
    321,846.75/509,523.75 = 509,523.75/x
  3. Step 3: Cross multiply
    321,846.75x = 509,523.75 × 509,523.75
  4. Step 4: Simplify right side
    321,846.75x = 259,614,451,814.06
  5. Step 5: Solve for x
    x = 259,614,451,814.06/321,846.75
  6. Step 6: Final answer
    x = 806,639.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.