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Finding the Third Proportional to 317,904.75 and 445,542.75

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Solution

The third proportional to 317,904.75 and 445,542.75 is: 624,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,904.75 : 445,542.75 = 445,542.75 : x
  2. Step 2: Convert to fraction form
    317,904.75/445,542.75 = 445,542.75/x
  3. Step 3: Cross multiply
    317,904.75x = 445,542.75 × 445,542.75
  4. Step 4: Simplify right side
    317,904.75x = 198,508,342,077.56
  5. Step 5: Solve for x
    x = 198,508,342,077.56/317,904.75
  6. Step 6: Final answer
    x = 624,427.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.