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Finding the Third Proportional to 197,858 and 306,899

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Solution

The third proportional to 197,858 and 306,899 is: 476,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,858 : 306,899 = 306,899 : x
  2. Step 2: Convert to fraction form
    197,858/306,899 = 306,899/x
  3. Step 3: Cross multiply
    197,858x = 306,899 × 306,899
  4. Step 4: Simplify right side
    197,858x = 94,186,996,201
  5. Step 5: Solve for x
    x = 94,186,996,201/197,858
  6. Step 6: Final answer
    x = 476,033.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.