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Finding the Third Proportional to 12,726 and 19,858.50

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Solution

The third proportional to 12,726 and 19,858.50 is: 30,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726 : 19,858.50 = 19,858.50 : x
  2. Step 2: Convert to fraction form
    12,726/19,858.50 = 19,858.50/x
  3. Step 3: Cross multiply
    12,726x = 19,858.50 × 19,858.50
  4. Step 4: Simplify right side
    12,726x = 394,360,022.25
  5. Step 5: Solve for x
    x = 394,360,022.25/12,726
  6. Step 6: Final answer
    x = 30,988.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.