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Finding the Third Proportional to 317,976 and 445,670

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Solution

The third proportional to 317,976 and 445,670 is: 624,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,976 : 445,670 = 445,670 : x
  2. Step 2: Convert to fraction form
    317,976/445,670 = 445,670/x
  3. Step 3: Cross multiply
    317,976x = 445,670 × 445,670
  4. Step 4: Simplify right side
    317,976x = 198,621,748,900
  5. Step 5: Solve for x
    x = 198,621,748,900/317,976
  6. Step 6: Final answer
    x = 624,643.84

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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.