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Finding the Third Proportional to 129,326 and 199,525

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Solution

The third proportional to 129,326 and 199,525 is: 307,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,326 : 199,525 = 199,525 : x
  2. Step 2: Convert to fraction form
    129,326/199,525 = 199,525/x
  3. Step 3: Cross multiply
    129,326x = 199,525 × 199,525
  4. Step 4: Simplify right side
    129,326x = 39,810,225,625
  5. Step 5: Solve for x
    x = 39,810,225,625/129,326
  6. Step 6: Final answer
    x = 307,828.48

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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.