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Finding the Third Proportional to 317,920 and 445,559

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Solution

The third proportional to 317,920 and 445,559 is: 624,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,920 : 445,559 = 445,559 : x
  2. Step 2: Convert to fraction form
    317,920/445,559 = 445,559/x
  3. Step 3: Cross multiply
    317,920x = 445,559 × 445,559
  4. Step 4: Simplify right side
    317,920x = 198,522,822,481
  5. Step 5: Solve for x
    x = 198,522,822,481/317,920
  6. Step 6: Final answer
    x = 624,442.70

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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.