Home / 1,458-2,106

Finding the Third Proportional to 1,458 and 2,106

Calculator

Solution

The third proportional to 1,458 and 2,106 is: 3,042

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458 : 2,106 = 2,106 : x
  2. Step 2: Convert to fraction form
    1,458/2,106 = 2,106/x
  3. Step 3: Cross multiply
    1,458x = 2,106 × 2,106
  4. Step 4: Simplify right side
    1,458x = 4,435,236
  5. Step 5: Solve for x
    x = 4,435,236/1,458
  6. Step 6: Final answer
    x = 3,042

Related Problems

Find third proportional to 729 and 1,053
Half scale
Find third proportional to 2,916 and 4,212
Double scale
Find third proportional to 1,460 and 2,109
Similar ratio
Find third proportional to 2,187 and 3,159
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.