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Finding the Third Proportional to 213,760 and 318,880

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Solution

The third proportional to 213,760 and 318,880 is: 475,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,760 : 318,880 = 318,880 : x
  2. Step 2: Convert to fraction form
    213,760/318,880 = 318,880/x
  3. Step 3: Cross multiply
    213,760x = 318,880 × 318,880
  4. Step 4: Simplify right side
    213,760x = 101,684,454,400
  5. Step 5: Solve for x
    x = 101,684,454,400/213,760
  6. Step 6: Final answer
    x = 475,694.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.