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Finding the Third Proportional to 317,958 and 445,650

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Solution

The third proportional to 317,958 and 445,650 is: 624,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,958 : 445,650 = 445,650 : x
  2. Step 2: Convert to fraction form
    317,958/445,650 = 445,650/x
  3. Step 3: Cross multiply
    317,958x = 445,650 × 445,650
  4. Step 4: Simplify right side
    317,958x = 198,603,922,500
  5. Step 5: Solve for x
    x = 198,603,922,500/317,958
  6. Step 6: Final answer
    x = 624,623.13

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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.