Home / 1,644-3,506

Finding the Third Proportional to 1,644 and 3,506

Calculator

Solution

The third proportional to 1,644 and 3,506 is: 7,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644 : 3,506 = 3,506 : x
  2. Step 2: Convert to fraction form
    1,644/3,506 = 3,506/x
  3. Step 3: Cross multiply
    1,644x = 3,506 × 3,506
  4. Step 4: Simplify right side
    1,644x = 12,292,036
  5. Step 5: Solve for x
    x = 12,292,036/1,644
  6. Step 6: Final answer
    x = 7,476.91

Related Problems

Find third proportional to 822 and 1,753
Half scale
Find third proportional to 3,288 and 7,012
Double scale
Find third proportional to 1,646 and 3,510
Similar ratio
Find third proportional to 2,466 and 5,259
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.