Home / 5,740-7,788

Finding the Third Proportional to 5,740 and 7,788

Calculator

Solution

The third proportional to 5,740 and 7,788 is: 10,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740 : 7,788 = 7,788 : x
  2. Step 2: Convert to fraction form
    5,740/7,788 = 7,788/x
  3. Step 3: Cross multiply
    5,740x = 7,788 × 7,788
  4. Step 4: Simplify right side
    5,740x = 60,652,944
  5. Step 5: Solve for x
    x = 60,652,944/5,740
  6. Step 6: Final answer
    x = 10,566.71

Related Problems

Find third proportional to 2,870 and 3,894
Half scale
Find third proportional to 11,480 and 15,576
Double scale
Find third proportional to 5,742 and 7,791
Similar ratio
Find third proportional to 8,610 and 11,682
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.