Home / 5,688-7,686

Finding the Third Proportional to 5,688 and 7,686

Calculator

Solution

The third proportional to 5,688 and 7,686 is: 10,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688 : 7,686 = 7,686 : x
  2. Step 2: Convert to fraction form
    5,688/7,686 = 7,686/x
  3. Step 3: Cross multiply
    5,688x = 7,686 × 7,686
  4. Step 4: Simplify right side
    5,688x = 59,074,596
  5. Step 5: Solve for x
    x = 59,074,596/5,688
  6. Step 6: Final answer
    x = 10,385.83

Related Problems

Find third proportional to 2,844 and 3,843
Half scale
Find third proportional to 11,376 and 15,372
Double scale
Find third proportional to 5,690 and 7,689
Similar ratio
Find third proportional to 8,532 and 11,529
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.