Home / 982.75-1,561.75

Finding the Third Proportional to 982.75 and 1,561.75

Calculator

Solution

The third proportional to 982.75 and 1,561.75 is: 2,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.75 : 1,561.75 = 1,561.75 : x
  2. Step 2: Convert to fraction form
    982.75/1,561.75 = 1,561.75/x
  3. Step 3: Cross multiply
    982.75x = 1,561.75 × 1,561.75
  4. Step 4: Simplify right side
    982.75x = 2,439,063.06
  5. Step 5: Solve for x
    x = 2,439,063.06/982.75
  6. Step 6: Final answer
    x = 2,481.88

Related Problems

Find third proportional to 491.38 and 780.88
Half scale
Find third proportional to 1,965.50 and 3,123.50
Double scale
Find third proportional to 985 and 1,565
Similar ratio
Find third proportional to 1,474.13 and 2,342.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.