Home / 580.92-1,298.53

Finding the Third Proportional to 580.92 and 1,298.53

Calculator

Solution

The third proportional to 580.92 and 1,298.53 is: 2,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 1,298.53 = 1,298.53 : x
  2. Step 2: Convert to fraction form
    580.92/1,298.53 = 1,298.53/x
  3. Step 3: Cross multiply
    580.92x = 1,298.53 × 1,298.53
  4. Step 4: Simplify right side
    580.92x = 1,686,183.41
  5. Step 5: Solve for x
    x = 1,686,183.41/580.92
  6. Step 6: Final answer
    x = 2,902.60

Related Problems

Find third proportional to 290.46 and 649.27
Half scale
Find third proportional to 1,161.84 and 2,597.06
Double scale
Find third proportional to 583 and 1,303
Similar ratio
Find third proportional to 871.38 and 1,947.80
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.