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Finding the Third Proportional to 6,820 and 10,255.25

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Solution

The third proportional to 6,820 and 10,255.25 is: 15,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820 : 10,255.25 = 10,255.25 : x
  2. Step 2: Convert to fraction form
    6,820/10,255.25 = 10,255.25/x
  3. Step 3: Cross multiply
    6,820x = 10,255.25 × 10,255.25
  4. Step 4: Simplify right side
    6,820x = 105,170,152.56
  5. Step 5: Solve for x
    x = 105,170,152.56/6,820
  6. Step 6: Final answer
    x = 15,420.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.