Home / 6,705-7,587

Finding the Third Proportional to 6,705 and 7,587

Calculator

Solution

The third proportional to 6,705 and 7,587 is: 8,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705 : 7,587 = 7,587 : x
  2. Step 2: Convert to fraction form
    6,705/7,587 = 7,587/x
  3. Step 3: Cross multiply
    6,705x = 7,587 × 7,587
  4. Step 4: Simplify right side
    6,705x = 57,562,569
  5. Step 5: Solve for x
    x = 57,562,569/6,705
  6. Step 6: Final answer
    x = 8,585.02

Related Problems

Find third proportional to 3,352.50 and 3,793.50
Half scale
Find third proportional to 13,410 and 15,174
Double scale
Find third proportional to 6,707 and 7,589
Similar ratio
Find third proportional to 10,057.50 and 11,380.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.