Home / 30,431-65,702

Finding the Third Proportional to 30,431 and 65,702

Calculator

Solution

The third proportional to 30,431 and 65,702 is: 141,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431 : 65,702 = 65,702 : x
  2. Step 2: Convert to fraction form
    30,431/65,702 = 65,702/x
  3. Step 3: Cross multiply
    30,431x = 65,702 × 65,702
  4. Step 4: Simplify right side
    30,431x = 4,316,752,804
  5. Step 5: Solve for x
    x = 4,316,752,804/30,431
  6. Step 6: Final answer
    x = 141,853.79

Related Problems

Find third proportional to 15,215.50 and 32,851
Half scale
Find third proportional to 60,862 and 131,404
Double scale
Find third proportional to 30,433 and 65,706
Similar ratio
Find third proportional to 45,646.50 and 98,553
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.