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Finding the Third Proportional to 90,982 and 197,504

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Solution

The third proportional to 90,982 and 197,504 is: 428,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,982 : 197,504 = 197,504 : x
  2. Step 2: Convert to fraction form
    90,982/197,504 = 197,504/x
  3. Step 3: Cross multiply
    90,982x = 197,504 × 197,504
  4. Step 4: Simplify right side
    90,982x = 39,007,830,016
  5. Step 5: Solve for x
    x = 39,007,830,016/90,982
  6. Step 6: Final answer
    x = 428,742.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.