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Finding the Third Proportional to 194,081 and 422,332

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Solution

The third proportional to 194,081 and 422,332 is: 919,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,081 : 422,332 = 422,332 : x
  2. Step 2: Convert to fraction form
    194,081/422,332 = 422,332/x
  3. Step 3: Cross multiply
    194,081x = 422,332 × 422,332
  4. Step 4: Simplify right side
    194,081x = 178,364,318,224
  5. Step 5: Solve for x
    x = 178,364,318,224/194,081
  6. Step 6: Final answer
    x = 919,019.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.