Home / 31,430-68,412

Finding the Third Proportional to 31,430 and 68,412

Calculator

Solution

The third proportional to 31,430 and 68,412 is: 148,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430 : 68,412 = 68,412 : x
  2. Step 2: Convert to fraction form
    31,430/68,412 = 68,412/x
  3. Step 3: Cross multiply
    31,430x = 68,412 × 68,412
  4. Step 4: Simplify right side
    31,430x = 4,680,201,744
  5. Step 5: Solve for x
    x = 4,680,201,744/31,430
  6. Step 6: Final answer
    x = 148,908.74

Related Problems

Find third proportional to 15,715 and 34,206
Half scale
Find third proportional to 62,860 and 136,824
Double scale
Find third proportional to 31,432 and 68,416
Similar ratio
Find third proportional to 47,145 and 102,618
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.