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Finding the Third Proportional to 10,874.75 and 20,885.50

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Solution

The third proportional to 10,874.75 and 20,885.50 is: 40,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.75 : 20,885.50 = 20,885.50 : x
  2. Step 2: Convert to fraction form
    10,874.75/20,885.50 = 20,885.50/x
  3. Step 3: Cross multiply
    10,874.75x = 20,885.50 × 20,885.50
  4. Step 4: Simplify right side
    10,874.75x = 436,204,110.25
  5. Step 5: Solve for x
    x = 436,204,110.25/10,874.75
  6. Step 6: Final answer
    x = 40,111.64

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.