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Finding the Third Proportional to 154,516 and 231,620

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Solution

The third proportional to 154,516 and 231,620 is: 347,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,516 : 231,620 = 231,620 : x
  2. Step 2: Convert to fraction form
    154,516/231,620 = 231,620/x
  3. Step 3: Cross multiply
    154,516x = 231,620 × 231,620
  4. Step 4: Simplify right side
    154,516x = 53,647,824,400
  5. Step 5: Solve for x
    x = 53,647,824,400/154,516
  6. Step 6: Final answer
    x = 347,199.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.