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Finding the Third Proportional to 8,295.75 and 10,084.50

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Solution

The third proportional to 8,295.75 and 10,084.50 is: 12,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.75 : 10,084.50 = 10,084.50 : x
  2. Step 2: Convert to fraction form
    8,295.75/10,084.50 = 10,084.50/x
  3. Step 3: Cross multiply
    8,295.75x = 10,084.50 × 10,084.50
  4. Step 4: Simplify right side
    8,295.75x = 101,697,140.25
  5. Step 5: Solve for x
    x = 101,697,140.25/8,295.75
  6. Step 6: Final answer
    x = 12,258.94

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.