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Finding the Third Proportional to 91,602 and 197,022

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Solution

The third proportional to 91,602 and 197,022 is: 423,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,602 : 197,022 = 197,022 : x
  2. Step 2: Convert to fraction form
    91,602/197,022 = 197,022/x
  3. Step 3: Cross multiply
    91,602x = 197,022 × 197,022
  4. Step 4: Simplify right side
    91,602x = 38,817,668,484
  5. Step 5: Solve for x
    x = 38,817,668,484/91,602
  6. Step 6: Final answer
    x = 423,764.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.