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Finding the Third Proportional to 7,779 and 10,480.50

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Solution

The third proportional to 7,779 and 10,480.50 is: 14,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779 : 10,480.50 = 10,480.50 : x
  2. Step 2: Convert to fraction form
    7,779/10,480.50 = 10,480.50/x
  3. Step 3: Cross multiply
    7,779x = 10,480.50 × 10,480.50
  4. Step 4: Simplify right side
    7,779x = 109,840,880.25
  5. Step 5: Solve for x
    x = 109,840,880.25/7,779
  6. Step 6: Final answer
    x = 14,120.18

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.