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Finding the Third Proportional to 9,296 and 20,300.50

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Solution

The third proportional to 9,296 and 20,300.50 is: 44,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296 : 20,300.50 = 20,300.50 : x
  2. Step 2: Convert to fraction form
    9,296/20,300.50 = 20,300.50/x
  3. Step 3: Cross multiply
    9,296x = 20,300.50 × 20,300.50
  4. Step 4: Simplify right side
    9,296x = 412,110,300.25
  5. Step 5: Solve for x
    x = 412,110,300.25/9,296
  6. Step 6: Final answer
    x = 44,332.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.