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Finding the Third Proportional to 140,268 and 197,298

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Solution

The third proportional to 140,268 and 197,298 is: 277,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,268 : 197,298 = 197,298 : x
  2. Step 2: Convert to fraction form
    140,268/197,298 = 197,298/x
  3. Step 3: Cross multiply
    140,268x = 197,298 × 197,298
  4. Step 4: Simplify right side
    140,268x = 38,926,500,804
  5. Step 5: Solve for x
    x = 38,926,500,804/140,268
  6. Step 6: Final answer
    x = 277,515.19

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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.