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Finding the Third Proportional to 248,620 and 381,516

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Solution

The third proportional to 248,620 and 381,516 is: 585,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,620 : 381,516 = 381,516 : x
  2. Step 2: Convert to fraction form
    248,620/381,516 = 381,516/x
  3. Step 3: Cross multiply
    248,620x = 381,516 × 381,516
  4. Step 4: Simplify right side
    248,620x = 145,554,458,256
  5. Step 5: Solve for x
    x = 145,554,458,256/248,620
  6. Step 6: Final answer
    x = 585,449.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.