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Finding the Third Proportional to 8,923.50 and 10,489.50

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Solution

The third proportional to 8,923.50 and 10,489.50 is: 12,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.50 : 10,489.50 = 10,489.50 : x
  2. Step 2: Convert to fraction form
    8,923.50/10,489.50 = 10,489.50/x
  3. Step 3: Cross multiply
    8,923.50x = 10,489.50 × 10,489.50
  4. Step 4: Simplify right side
    8,923.50x = 110,029,610.25
  5. Step 5: Solve for x
    x = 110,029,610.25/8,923.50
  6. Step 6: Final answer
    x = 12,330.32

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.