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Finding the Third Proportional to 129,576 and 199,899

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Solution

The third proportional to 129,576 and 199,899 is: 308,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,576 : 199,899 = 199,899 : x
  2. Step 2: Convert to fraction form
    129,576/199,899 = 199,899/x
  3. Step 3: Cross multiply
    129,576x = 199,899 × 199,899
  4. Step 4: Simplify right side
    129,576x = 39,959,610,201
  5. Step 5: Solve for x
    x = 39,959,610,201/129,576
  6. Step 6: Final answer
    x = 308,387.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.