Home / 5,494-6,454

Finding the Third Proportional to 5,494 and 6,454

Calculator

Solution

The third proportional to 5,494 and 6,454 is: 7,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494 : 6,454 = 6,454 : x
  2. Step 2: Convert to fraction form
    5,494/6,454 = 6,454/x
  3. Step 3: Cross multiply
    5,494x = 6,454 × 6,454
  4. Step 4: Simplify right side
    5,494x = 41,654,116
  5. Step 5: Solve for x
    x = 41,654,116/5,494
  6. Step 6: Final answer
    x = 7,581.75

Related Problems

Find third proportional to 2,747 and 3,227
Half scale
Find third proportional to 10,988 and 12,908
Double scale
Find third proportional to 5,496 and 6,456
Similar ratio
Find third proportional to 8,241 and 9,681
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.