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Finding the Third Proportional to 154,210 and 343,876

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Solution

The third proportional to 154,210 and 343,876 is: 766,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,210 : 343,876 = 343,876 : x
  2. Step 2: Convert to fraction form
    154,210/343,876 = 343,876/x
  3. Step 3: Cross multiply
    154,210x = 343,876 × 343,876
  4. Step 4: Simplify right side
    154,210x = 118,250,703,376
  5. Step 5: Solve for x
    x = 118,250,703,376/154,210
  6. Step 6: Final answer
    x = 766,816.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.