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Finding the Third Proportional to 317,920 and 445,624

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Solution

The third proportional to 317,920 and 445,624 is: 624,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,920 : 445,624 = 445,624 : x
  2. Step 2: Convert to fraction form
    317,920/445,624 = 445,624/x
  3. Step 3: Cross multiply
    317,920x = 445,624 × 445,624
  4. Step 4: Simplify right side
    317,920x = 198,580,749,376
  5. Step 5: Solve for x
    x = 198,580,749,376/317,920
  6. Step 6: Final answer
    x = 624,624.90

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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.