Home / 5,700-6,524

Finding the Third Proportional to 5,700 and 6,524

Calculator

Solution

The third proportional to 5,700 and 6,524 is: 7,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700 : 6,524 = 6,524 : x
  2. Step 2: Convert to fraction form
    5,700/6,524 = 6,524/x
  3. Step 3: Cross multiply
    5,700x = 6,524 × 6,524
  4. Step 4: Simplify right side
    5,700x = 42,562,576
  5. Step 5: Solve for x
    x = 42,562,576/5,700
  6. Step 6: Final answer
    x = 7,467.12

Related Problems

Find third proportional to 2,850 and 3,262
Half scale
Find third proportional to 11,400 and 13,048
Double scale
Find third proportional to 5,702 and 6,526
Similar ratio
Find third proportional to 8,550 and 9,786
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.