Home / 1,242-1,964.25

Finding the Third Proportional to 1,242 and 1,964.25

Calculator

Solution

The third proportional to 1,242 and 1,964.25 is: 3,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242 : 1,964.25 = 1,964.25 : x
  2. Step 2: Convert to fraction form
    1,242/1,964.25 = 1,964.25/x
  3. Step 3: Cross multiply
    1,242x = 1,964.25 × 1,964.25
  4. Step 4: Simplify right side
    1,242x = 3,858,278.06
  5. Step 5: Solve for x
    x = 3,858,278.06/1,242
  6. Step 6: Final answer
    x = 3,106.50

Related Problems

Find third proportional to 621 and 982.13
Half scale
Find third proportional to 2,484 and 3,928.50
Double scale
Find third proportional to 1,244 and 1,967
Similar ratio
Find third proportional to 1,863 and 2,946.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.