Home / 31,321-68,420

Finding the Third Proportional to 31,321 and 68,420

Calculator

Solution

The third proportional to 31,321 and 68,420 is: 149,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,321 : 68,420 = 68,420 : x
  2. Step 2: Convert to fraction form
    31,321/68,420 = 68,420/x
  3. Step 3: Cross multiply
    31,321x = 68,420 × 68,420
  4. Step 4: Simplify right side
    31,321x = 4,681,296,400
  5. Step 5: Solve for x
    x = 4,681,296,400/31,321
  6. Step 6: Final answer
    x = 149,461.91

Related Problems

Find third proportional to 15,660.50 and 34,210
Half scale
Find third proportional to 62,642 and 136,840
Double scale
Find third proportional to 31,323 and 68,424
Similar ratio
Find third proportional to 46,981.50 and 102,630
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.