Home / 6,585-7,137

Finding the Third Proportional to 6,585 and 7,137

Calculator

Solution

The third proportional to 6,585 and 7,137 is: 7,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585 : 7,137 = 7,137 : x
  2. Step 2: Convert to fraction form
    6,585/7,137 = 7,137/x
  3. Step 3: Cross multiply
    6,585x = 7,137 × 7,137
  4. Step 4: Simplify right side
    6,585x = 50,936,769
  5. Step 5: Solve for x
    x = 50,936,769/6,585
  6. Step 6: Final answer
    x = 7,735.27

Related Problems

Find third proportional to 3,292.50 and 3,568.50
Half scale
Find third proportional to 13,170 and 14,274
Double scale
Find third proportional to 6,587 and 7,139
Similar ratio
Find third proportional to 9,877.50 and 10,705.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.