Home / 6,710-9,097

Finding the Third Proportional to 6,710 and 9,097

Calculator

Solution

The third proportional to 6,710 and 9,097 is: 12,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710 : 9,097 = 9,097 : x
  2. Step 2: Convert to fraction form
    6,710/9,097 = 9,097/x
  3. Step 3: Cross multiply
    6,710x = 9,097 × 9,097
  4. Step 4: Simplify right side
    6,710x = 82,755,409
  5. Step 5: Solve for x
    x = 82,755,409/6,710
  6. Step 6: Final answer
    x = 12,333.15

Related Problems

Find third proportional to 3,355 and 4,548.50
Half scale
Find third proportional to 13,420 and 18,194
Double scale
Find third proportional to 6,712 and 9,100
Similar ratio
Find third proportional to 10,065 and 13,645.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.