Home / 3,460-7,702

Finding the Third Proportional to 3,460 and 7,702

Calculator

Solution

The third proportional to 3,460 and 7,702 is: 17,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460 : 7,702 = 7,702 : x
  2. Step 2: Convert to fraction form
    3,460/7,702 = 7,702/x
  3. Step 3: Cross multiply
    3,460x = 7,702 × 7,702
  4. Step 4: Simplify right side
    3,460x = 59,320,804
  5. Step 5: Solve for x
    x = 59,320,804/3,460
  6. Step 6: Final answer
    x = 17,144.74

Related Problems

Find third proportional to 1,730 and 3,851
Half scale
Find third proportional to 6,920 and 15,404
Double scale
Find third proportional to 3,462 and 7,706
Similar ratio
Find third proportional to 5,190 and 11,553
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.