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Finding the Third Proportional to 317,940 and 445,620

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Solution

The third proportional to 317,940 and 445,620 is: 624,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,940 : 445,620 = 445,620 : x
  2. Step 2: Convert to fraction form
    317,940/445,620 = 445,620/x
  3. Step 3: Cross multiply
    317,940x = 445,620 × 445,620
  4. Step 4: Simplify right side
    317,940x = 198,577,184,400
  5. Step 5: Solve for x
    x = 198,577,184,400/317,940
  6. Step 6: Final answer
    x = 624,574.40

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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.