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Finding the Third Proportional to 90,844 and 197,240

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Solution

The third proportional to 90,844 and 197,240 is: 428,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,844 : 197,240 = 197,240 : x
  2. Step 2: Convert to fraction form
    90,844/197,240 = 197,240/x
  3. Step 3: Cross multiply
    90,844x = 197,240 × 197,240
  4. Step 4: Simplify right side
    90,844x = 38,903,617,600
  5. Step 5: Solve for x
    x = 38,903,617,600/90,844
  6. Step 6: Final answer
    x = 428,246.42

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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.