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Finding the Third Proportional to 154,806 and 218,000

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Solution

The third proportional to 154,806 and 218,000 is: 306,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,806 : 218,000 = 218,000 : x
  2. Step 2: Convert to fraction form
    154,806/218,000 = 218,000/x
  3. Step 3: Cross multiply
    154,806x = 218,000 × 218,000
  4. Step 4: Simplify right side
    154,806x = 47,524,000,000
  5. Step 5: Solve for x
    x = 47,524,000,000/154,806
  6. Step 6: Final answer
    x = 306,990.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.