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Finding the Third Proportional to 317,923.50 and 445,569

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Solution

The third proportional to 317,923.50 and 445,569 is: 624,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,923.50 : 445,569 = 445,569 : x
  2. Step 2: Convert to fraction form
    317,923.50/445,569 = 445,569/x
  3. Step 3: Cross multiply
    317,923.50x = 445,569 × 445,569
  4. Step 4: Simplify right side
    317,923.50x = 198,531,733,761
  5. Step 5: Solve for x
    x = 198,531,733,761/317,923.50
  6. Step 6: Final answer
    x = 624,463.85

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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.