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Finding the Third Proportional to 20,242 and 28,894.50

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Solution

The third proportional to 20,242 and 28,894.50 is: 41,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242 : 28,894.50 = 28,894.50 : x
  2. Step 2: Convert to fraction form
    20,242/28,894.50 = 28,894.50/x
  3. Step 3: Cross multiply
    20,242x = 28,894.50 × 28,894.50
  4. Step 4: Simplify right side
    20,242x = 834,892,130.25
  5. Step 5: Solve for x
    x = 834,892,130.25/20,242
  6. Step 6: Final answer
    x = 41,245.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.