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Finding the Third Proportional to 138,576 and 299,296

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Solution

The third proportional to 138,576 and 299,296 is: 646,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,576 : 299,296 = 299,296 : x
  2. Step 2: Convert to fraction form
    138,576/299,296 = 299,296/x
  3. Step 3: Cross multiply
    138,576x = 299,296 × 299,296
  4. Step 4: Simplify right side
    138,576x = 89,578,095,616
  5. Step 5: Solve for x
    x = 89,578,095,616/138,576
  6. Step 6: Final answer
    x = 646,418.54

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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.