Home / 5,705-6,542

Finding the Third Proportional to 5,705 and 6,542

Calculator

Solution

The third proportional to 5,705 and 6,542 is: 7,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705 : 6,542 = 6,542 : x
  2. Step 2: Convert to fraction form
    5,705/6,542 = 6,542/x
  3. Step 3: Cross multiply
    5,705x = 6,542 × 6,542
  4. Step 4: Simplify right side
    5,705x = 42,797,764
  5. Step 5: Solve for x
    x = 42,797,764/5,705
  6. Step 6: Final answer
    x = 7,501.80

Related Problems

Find third proportional to 2,852.50 and 3,271
Half scale
Find third proportional to 11,410 and 13,084
Double scale
Find third proportional to 5,707 and 6,544
Similar ratio
Find third proportional to 8,557.50 and 9,813
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.