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Finding the Third Proportional to 6,428.50 and 13,907

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Solution

The third proportional to 6,428.50 and 13,907 is: 30,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.50 : 13,907 = 13,907 : x
  2. Step 2: Convert to fraction form
    6,428.50/13,907 = 13,907/x
  3. Step 3: Cross multiply
    6,428.50x = 13,907 × 13,907
  4. Step 4: Simplify right side
    6,428.50x = 193,404,649
  5. Step 5: Solve for x
    x = 193,404,649/6,428.50
  6. Step 6: Final answer
    x = 30,085.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.