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Finding the Third Proportional to 8,968.50 and 20,801.25

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Solution

The third proportional to 8,968.50 and 20,801.25 is: 48,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968.50 : 20,801.25 = 20,801.25 : x
  2. Step 2: Convert to fraction form
    8,968.50/20,801.25 = 20,801.25/x
  3. Step 3: Cross multiply
    8,968.50x = 20,801.25 × 20,801.25
  4. Step 4: Simplify right side
    8,968.50x = 432,692,001.56
  5. Step 5: Solve for x
    x = 432,692,001.56/8,968.50
  6. Step 6: Final answer
    x = 48,245.75

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.