Home / 13,920-32,840

Finding the Third Proportional to 13,920 and 32,840

Calculator

Solution

The third proportional to 13,920 and 32,840 is: 77,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920 : 32,840 = 32,840 : x
  2. Step 2: Convert to fraction form
    13,920/32,840 = 32,840/x
  3. Step 3: Cross multiply
    13,920x = 32,840 × 32,840
  4. Step 4: Simplify right side
    13,920x = 1,078,465,600
  5. Step 5: Solve for x
    x = 1,078,465,600/13,920
  6. Step 6: Final answer
    x = 77,475.98

Related Problems

Find third proportional to 6,960 and 16,420
Half scale
Find third proportional to 27,840 and 65,680
Double scale
Find third proportional to 13,922 and 32,845
Similar ratio
Find third proportional to 20,880 and 49,260
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.