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Finding the Third Proportional to 194,844 and 420,072

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Solution

The third proportional to 194,844 and 420,072 is: 905,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,844 : 420,072 = 420,072 : x
  2. Step 2: Convert to fraction form
    194,844/420,072 = 420,072/x
  3. Step 3: Cross multiply
    194,844x = 420,072 × 420,072
  4. Step 4: Simplify right side
    194,844x = 176,460,485,184
  5. Step 5: Solve for x
    x = 176,460,485,184/194,844
  6. Step 6: Final answer
    x = 905,650.09

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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.