Home / 31,988-69,720

Finding the Third Proportional to 31,988 and 69,720

Calculator

Solution

The third proportional to 31,988 and 69,720 is: 151,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988 : 69,720 = 69,720 : x
  2. Step 2: Convert to fraction form
    31,988/69,720 = 69,720/x
  3. Step 3: Cross multiply
    31,988x = 69,720 × 69,720
  4. Step 4: Simplify right side
    31,988x = 4,860,878,400
  5. Step 5: Solve for x
    x = 4,860,878,400/31,988
  6. Step 6: Final answer
    x = 151,959.43

Related Problems

Find third proportional to 15,994 and 34,860
Half scale
Find third proportional to 63,976 and 139,440
Double scale
Find third proportional to 31,990 and 69,724
Similar ratio
Find third proportional to 47,982 and 104,580
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.