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Finding the Third Proportional to 90,981 and 197,028

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Solution

The third proportional to 90,981 and 197,028 is: 426,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,981 : 197,028 = 197,028 : x
  2. Step 2: Convert to fraction form
    90,981/197,028 = 197,028/x
  3. Step 3: Cross multiply
    90,981x = 197,028 × 197,028
  4. Step 4: Simplify right side
    90,981x = 38,820,032,784
  5. Step 5: Solve for x
    x = 38,820,032,784/90,981
  6. Step 6: Final answer
    x = 426,682.85

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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.