Home / 31,700-68,418

Finding the Third Proportional to 31,700 and 68,418

Calculator

Solution

The third proportional to 31,700 and 68,418 is: 147,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700 : 68,418 = 68,418 : x
  2. Step 2: Convert to fraction form
    31,700/68,418 = 68,418/x
  3. Step 3: Cross multiply
    31,700x = 68,418 × 68,418
  4. Step 4: Simplify right side
    31,700x = 4,681,022,724
  5. Step 5: Solve for x
    x = 4,681,022,724/31,700
  6. Step 6: Final answer
    x = 147,666.33

Related Problems

Find third proportional to 15,850 and 34,209
Half scale
Find third proportional to 63,400 and 136,836
Double scale
Find third proportional to 31,702 and 68,422
Similar ratio
Find third proportional to 47,550 and 102,627
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.