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Finding the Third Proportional to 91,218 and 196,020

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Solution

The third proportional to 91,218 and 196,020 is: 421,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,218 : 196,020 = 196,020 : x
  2. Step 2: Convert to fraction form
    91,218/196,020 = 196,020/x
  3. Step 3: Cross multiply
    91,218x = 196,020 × 196,020
  4. Step 4: Simplify right side
    91,218x = 38,423,840,400
  5. Step 5: Solve for x
    x = 38,423,840,400/91,218
  6. Step 6: Final answer
    x = 421,230.90

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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.