Home / 2,053-2,221

Finding the Third Proportional to 2,053 and 2,221

Calculator

Solution

The third proportional to 2,053 and 2,221 is: 2,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053 : 2,221 = 2,221 : x
  2. Step 2: Convert to fraction form
    2,053/2,221 = 2,221/x
  3. Step 3: Cross multiply
    2,053x = 2,221 × 2,221
  4. Step 4: Simplify right side
    2,053x = 4,932,841
  5. Step 5: Solve for x
    x = 4,932,841/2,053
  6. Step 6: Final answer
    x = 2,402.75

Related Problems

Find third proportional to 1,026.50 and 1,110.50
Half scale
Find third proportional to 4,106 and 4,442
Double scale
Find third proportional to 2,055 and 2,223
Similar ratio
Find third proportional to 3,079.50 and 3,331.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.