Home / 1,640-3,488

Finding the Third Proportional to 1,640 and 3,488

Calculator

Solution

The third proportional to 1,640 and 3,488 is: 7,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640 : 3,488 = 3,488 : x
  2. Step 2: Convert to fraction form
    1,640/3,488 = 3,488/x
  3. Step 3: Cross multiply
    1,640x = 3,488 × 3,488
  4. Step 4: Simplify right side
    1,640x = 12,166,144
  5. Step 5: Solve for x
    x = 12,166,144/1,640
  6. Step 6: Final answer
    x = 7,418.38

Related Problems

Find third proportional to 820 and 1,744
Half scale
Find third proportional to 3,280 and 6,976
Double scale
Find third proportional to 1,642 and 3,492
Similar ratio
Find third proportional to 2,460 and 5,232
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.