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Finding the Third Proportional to 316,441.69 and 682,359.19

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Solution

The third proportional to 316,441.69 and 682,359.19 is: 1,471,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,441.69 : 682,359.19 = 682,359.19 : x
  2. Step 2: Convert to fraction form
    316,441.69/682,359.19 = 682,359.19/x
  3. Step 3: Cross multiply
    316,441.69x = 682,359.19 × 682,359.19
  4. Step 4: Simplify right side
    316,441.69x = 465,614,060,765.66
  5. Step 5: Solve for x
    x = 465,614,060,765.66/316,441.69
  6. Step 6: Final answer
    x = 1,471,405.57

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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.