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Finding the Third Proportional to 317,901.75 and 445,604.25

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Solution

The third proportional to 317,901.75 and 445,604.25 is: 624,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,901.75 : 445,604.25 = 445,604.25 : x
  2. Step 2: Convert to fraction form
    317,901.75/445,604.25 = 445,604.25/x
  3. Step 3: Cross multiply
    317,901.75x = 445,604.25 × 445,604.25
  4. Step 4: Simplify right side
    317,901.75x = 198,563,147,618.06
  5. Step 5: Solve for x
    x = 198,563,147,618.06/317,901.75
  6. Step 6: Final answer
    x = 624,605.39

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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.