Home / 6,506-7,910

Finding the Third Proportional to 6,506 and 7,910

Calculator

Solution

The third proportional to 6,506 and 7,910 is: 9,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506 : 7,910 = 7,910 : x
  2. Step 2: Convert to fraction form
    6,506/7,910 = 7,910/x
  3. Step 3: Cross multiply
    6,506x = 7,910 × 7,910
  4. Step 4: Simplify right side
    6,506x = 62,568,100
  5. Step 5: Solve for x
    x = 62,568,100/6,506
  6. Step 6: Final answer
    x = 9,616.98

Related Problems

Find third proportional to 3,253 and 3,955
Half scale
Find third proportional to 13,012 and 15,820
Double scale
Find third proportional to 6,508 and 7,912
Similar ratio
Find third proportional to 9,759 and 11,865
1.5x scale

Why These Related Problems?

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