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Finding the Third Proportional to 317,960 and 445,653

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Solution

The third proportional to 317,960 and 445,653 is: 624,627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,960 : 445,653 = 445,653 : x
  2. Step 2: Convert to fraction form
    317,960/445,653 = 445,653/x
  3. Step 3: Cross multiply
    317,960x = 445,653 × 445,653
  4. Step 4: Simplify right side
    317,960x = 198,606,596,409
  5. Step 5: Solve for x
    x = 198,606,596,409/317,960
  6. Step 6: Final answer
    x = 624,627.61

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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.