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Finding the Third Proportional to 317,958.75 and 681,986.25

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Solution

The third proportional to 317,958.75 and 681,986.25 is: 1,462,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,958.75 : 681,986.25 = 681,986.25 : x
  2. Step 2: Convert to fraction form
    317,958.75/681,986.25 = 681,986.25/x
  3. Step 3: Cross multiply
    317,958.75x = 681,986.25 × 681,986.25
  4. Step 4: Simplify right side
    317,958.75x = 465,105,245,189.06
  5. Step 5: Solve for x
    x = 465,105,245,189.06/317,958.75
  6. Step 6: Final answer
    x = 1,462,784.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.