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Finding the Third Proportional to 317,955.38 and 681,974.44

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Solution

The third proportional to 317,955.38 and 681,974.44 is: 1,462,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,955.38 : 681,974.44 = 681,974.44 : x
  2. Step 2: Convert to fraction form
    317,955.38/681,974.44 = 681,974.44/x
  3. Step 3: Cross multiply
    317,955.38x = 681,974.44 × 681,974.44
  4. Step 4: Simplify right side
    317,955.38x = 465,089,133,403.44
  5. Step 5: Solve for x
    x = 465,089,133,403.44/317,955.38
  6. Step 6: Final answer
    x = 1,462,749.71

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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.