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Finding the Third Proportional to 197,498 and 297,989

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Solution

The third proportional to 197,498 and 297,989 is: 449,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,498 : 297,989 = 297,989 : x
  2. Step 2: Convert to fraction form
    197,498/297,989 = 297,989/x
  3. Step 3: Cross multiply
    197,498x = 297,989 × 297,989
  4. Step 4: Simplify right side
    197,498x = 88,797,444,121
  5. Step 5: Solve for x
    x = 88,797,444,121/197,498
  6. Step 6: Final answer
    x = 449,611.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.