Home / 5,920-7,830

Finding the Third Proportional to 5,920 and 7,830

Calculator

Solution

The third proportional to 5,920 and 7,830 is: 10,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920 : 7,830 = 7,830 : x
  2. Step 2: Convert to fraction form
    5,920/7,830 = 7,830/x
  3. Step 3: Cross multiply
    5,920x = 7,830 × 7,830
  4. Step 4: Simplify right side
    5,920x = 61,308,900
  5. Step 5: Solve for x
    x = 61,308,900/5,920
  6. Step 6: Final answer
    x = 10,356.23

Related Problems

Find third proportional to 2,960 and 3,915
Half scale
Find third proportional to 11,840 and 15,660
Double scale
Find third proportional to 5,922 and 7,833
Similar ratio
Find third proportional to 8,880 and 11,745
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.