Home / 31,403-68,355

Finding the Third Proportional to 31,403 and 68,355

Calculator

Solution

The third proportional to 31,403 and 68,355 is: 148,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403 : 68,355 = 68,355 : x
  2. Step 2: Convert to fraction form
    31,403/68,355 = 68,355/x
  3. Step 3: Cross multiply
    31,403x = 68,355 × 68,355
  4. Step 4: Simplify right side
    31,403x = 4,672,406,025
  5. Step 5: Solve for x
    x = 4,672,406,025/31,403
  6. Step 6: Final answer
    x = 148,788.52

Related Problems

Find third proportional to 15,701.50 and 34,177.50
Half scale
Find third proportional to 62,806 and 136,710
Double scale
Find third proportional to 31,405 and 68,359
Similar ratio
Find third proportional to 47,104.50 and 102,532.50
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.