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Finding the Third Proportional to 91,121 and 197,218

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Solution

The third proportional to 91,121 and 197,218 is: 426,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,121 : 197,218 = 197,218 : x
  2. Step 2: Convert to fraction form
    91,121/197,218 = 197,218/x
  3. Step 3: Cross multiply
    91,121x = 197,218 × 197,218
  4. Step 4: Simplify right side
    91,121x = 38,894,939,524
  5. Step 5: Solve for x
    x = 38,894,939,524/91,121
  6. Step 6: Final answer
    x = 426,849.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.