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Finding the Third Proportional to 194,088 and 422,347

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Solution

The third proportional to 194,088 and 422,347 is: 919,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,088 : 422,347 = 422,347 : x
  2. Step 2: Convert to fraction form
    194,088/422,347 = 422,347/x
  3. Step 3: Cross multiply
    194,088x = 422,347 × 422,347
  4. Step 4: Simplify right side
    194,088x = 178,376,988,409
  5. Step 5: Solve for x
    x = 178,376,988,409/194,088
  6. Step 6: Final answer
    x = 919,052.12

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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.