Home / 1,313-2,046

Finding the Third Proportional to 1,313 and 2,046

Calculator

Solution

The third proportional to 1,313 and 2,046 is: 3,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313 : 2,046 = 2,046 : x
  2. Step 2: Convert to fraction form
    1,313/2,046 = 2,046/x
  3. Step 3: Cross multiply
    1,313x = 2,046 × 2,046
  4. Step 4: Simplify right side
    1,313x = 4,186,116
  5. Step 5: Solve for x
    x = 4,186,116/1,313
  6. Step 6: Final answer
    x = 3,188.21

Related Problems

Find third proportional to 656.50 and 1,023
Half scale
Find third proportional to 2,626 and 4,092
Double scale
Find third proportional to 1,315 and 2,049
Similar ratio
Find third proportional to 1,969.50 and 3,069
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.