Home / 1,460-3,690

Finding the Third Proportional to 1,460 and 3,690

Calculator

Solution

The third proportional to 1,460 and 3,690 is: 9,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460 : 3,690 = 3,690 : x
  2. Step 2: Convert to fraction form
    1,460/3,690 = 3,690/x
  3. Step 3: Cross multiply
    1,460x = 3,690 × 3,690
  4. Step 4: Simplify right side
    1,460x = 13,616,100
  5. Step 5: Solve for x
    x = 13,616,100/1,460
  6. Step 6: Final answer
    x = 9,326.10

Related Problems

Find third proportional to 730 and 1,845
Half scale
Find third proportional to 2,920 and 7,380
Double scale
Find third proportional to 1,462 and 3,695
Similar ratio
Find third proportional to 2,190 and 5,535
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.