Home / 5,464-8,431

Finding the Third Proportional to 5,464 and 8,431

Calculator

Solution

The third proportional to 5,464 and 8,431 is: 13,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464 : 8,431 = 8,431 : x
  2. Step 2: Convert to fraction form
    5,464/8,431 = 8,431/x
  3. Step 3: Cross multiply
    5,464x = 8,431 × 8,431
  4. Step 4: Simplify right side
    5,464x = 71,081,761
  5. Step 5: Solve for x
    x = 71,081,761/5,464
  6. Step 6: Final answer
    x = 13,009.11

Related Problems

Find third proportional to 2,732 and 4,215.50
Half scale
Find third proportional to 10,928 and 16,862
Double scale
Find third proportional to 5,466 and 8,434
Similar ratio
Find third proportional to 8,196 and 12,646.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.