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Finding the Third Proportional to 134,856 and 194,248

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Solution

The third proportional to 134,856 and 194,248 is: 279,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,856 : 194,248 = 194,248 : x
  2. Step 2: Convert to fraction form
    134,856/194,248 = 194,248/x
  3. Step 3: Cross multiply
    134,856x = 194,248 × 194,248
  4. Step 4: Simplify right side
    134,856x = 37,732,285,504
  5. Step 5: Solve for x
    x = 37,732,285,504/134,856
  6. Step 6: Final answer
    x = 279,796.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.