Home / 974-2,106

Finding the Third Proportional to 974 and 2,106

Calculator

Solution

The third proportional to 974 and 2,106 is: 4,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    974 : 2,106 = 2,106 : x
  2. Step 2: Convert to fraction form
    974/2,106 = 2,106/x
  3. Step 3: Cross multiply
    974x = 2,106 × 2,106
  4. Step 4: Simplify right side
    974x = 4,435,236
  5. Step 5: Solve for x
    x = 4,435,236/974
  6. Step 6: Final answer
    x = 4,553.63

Related Problems

Find third proportional to 487 and 1,053
Half scale
Find third proportional to 1,948 and 4,212
Double scale
Find third proportional to 976 and 2,110
Similar ratio
Find third proportional to 1,461 and 3,159
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.