Home / 400.10-821.55

Finding the Third Proportional to 400.10 and 821.55

Calculator

Solution

The third proportional to 400.10 and 821.55 is: 1,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.10 : 821.55 = 821.55 : x
  2. Step 2: Convert to fraction form
    400.10/821.55 = 821.55/x
  3. Step 3: Cross multiply
    400.10x = 821.55 × 821.55
  4. Step 4: Simplify right side
    400.10x = 674,942.48
  5. Step 5: Solve for x
    x = 674,942.48/400.10
  6. Step 6: Final answer
    x = 1,686.95

Related Problems

Find third proportional to 200.05 and 410.77
Half scale
Find third proportional to 800.19 and 1,643.10
Double scale
Find third proportional to 402 and 826
Similar ratio
Find third proportional to 600.14 and 1,232.32
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.