Home / 31,232-68,072

Finding the Third Proportional to 31,232 and 68,072

Calculator

Solution

The third proportional to 31,232 and 68,072 is: 148,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232 : 68,072 = 68,072 : x
  2. Step 2: Convert to fraction form
    31,232/68,072 = 68,072/x
  3. Step 3: Cross multiply
    31,232x = 68,072 × 68,072
  4. Step 4: Simplify right side
    31,232x = 4,633,797,184
  5. Step 5: Solve for x
    x = 4,633,797,184/31,232
  6. Step 6: Final answer
    x = 148,366.97

Related Problems

Find third proportional to 15,616 and 34,036
Half scale
Find third proportional to 62,464 and 136,144
Double scale
Find third proportional to 31,234 and 68,076
Similar ratio
Find third proportional to 46,848 and 102,108
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.