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Finding the Third Proportional to 126,642 and 200,531

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Solution

The third proportional to 126,642 and 200,531 is: 317,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,642 : 200,531 = 200,531 : x
  2. Step 2: Convert to fraction form
    126,642/200,531 = 200,531/x
  3. Step 3: Cross multiply
    126,642x = 200,531 × 200,531
  4. Step 4: Simplify right side
    126,642x = 40,212,681,961
  5. Step 5: Solve for x
    x = 40,212,681,961/126,642
  6. Step 6: Final answer
    x = 317,530.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.