Home / 1,701-3,213

Finding the Third Proportional to 1,701 and 3,213

Calculator

Solution

The third proportional to 1,701 and 3,213 is: 6,069

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701 : 3,213 = 3,213 : x
  2. Step 2: Convert to fraction form
    1,701/3,213 = 3,213/x
  3. Step 3: Cross multiply
    1,701x = 3,213 × 3,213
  4. Step 4: Simplify right side
    1,701x = 10,323,369
  5. Step 5: Solve for x
    x = 10,323,369/1,701
  6. Step 6: Final answer
    x = 6,069

Related Problems

Find third proportional to 850.50 and 1,606.50
Half scale
Find third proportional to 3,402 and 6,426
Double scale
Find third proportional to 1,703 and 3,217
Similar ratio
Find third proportional to 2,551.50 and 4,819.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.