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Finding the Third Proportional to 317,912.50 and 445,553

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Solution

The third proportional to 317,912.50 and 445,553 is: 624,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,912.50 : 445,553 = 445,553 : x
  2. Step 2: Convert to fraction form
    317,912.50/445,553 = 445,553/x
  3. Step 3: Cross multiply
    317,912.50x = 445,553 × 445,553
  4. Step 4: Simplify right side
    317,912.50x = 198,517,475,809
  5. Step 5: Solve for x
    x = 198,517,475,809/317,912.50
  6. Step 6: Final answer
    x = 624,440.61

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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.