Home / 1,640-3,364

Finding the Third Proportional to 1,640 and 3,364

Calculator

Solution

The third proportional to 1,640 and 3,364 is: 6,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640 : 3,364 = 3,364 : x
  2. Step 2: Convert to fraction form
    1,640/3,364 = 3,364/x
  3. Step 3: Cross multiply
    1,640x = 3,364 × 3,364
  4. Step 4: Simplify right side
    1,640x = 11,316,496
  5. Step 5: Solve for x
    x = 11,316,496/1,640
  6. Step 6: Final answer
    x = 6,900.30

Related Problems

Find third proportional to 820 and 1,682
Half scale
Find third proportional to 3,280 and 6,728
Double scale
Find third proportional to 1,642 and 3,368
Similar ratio
Find third proportional to 2,460 and 5,046
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.