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Finding the Third Proportional to 126,675 and 200,575.50

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Solution

The third proportional to 126,675 and 200,575.50 is: 317,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,675 : 200,575.50 = 200,575.50 : x
  2. Step 2: Convert to fraction form
    126,675/200,575.50 = 200,575.50/x
  3. Step 3: Cross multiply
    126,675x = 200,575.50 × 200,575.50
  4. Step 4: Simplify right side
    126,675x = 40,230,531,200.25
  5. Step 5: Solve for x
    x = 40,230,531,200.25/126,675
  6. Step 6: Final answer
    x = 317,588.56

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