Home / 5,770-6,442

Finding the Third Proportional to 5,770 and 6,442

Calculator

Solution

The third proportional to 5,770 and 6,442 is: 7,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770 : 6,442 = 6,442 : x
  2. Step 2: Convert to fraction form
    5,770/6,442 = 6,442/x
  3. Step 3: Cross multiply
    5,770x = 6,442 × 6,442
  4. Step 4: Simplify right side
    5,770x = 41,499,364
  5. Step 5: Solve for x
    x = 41,499,364/5,770
  6. Step 6: Final answer
    x = 7,192.26

Related Problems

Find third proportional to 2,885 and 3,221
Half scale
Find third proportional to 11,540 and 12,884
Double scale
Find third proportional to 5,772 and 6,444
Similar ratio
Find third proportional to 8,655 and 9,663
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.