Home / 734.70-1,585.20

Finding the Third Proportional to 734.70 and 1,585.20

Calculator

Solution

The third proportional to 734.70 and 1,585.20 is: 3,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.70 : 1,585.20 = 1,585.20 : x
  2. Step 2: Convert to fraction form
    734.70/1,585.20 = 1,585.20/x
  3. Step 3: Cross multiply
    734.70x = 1,585.20 × 1,585.20
  4. Step 4: Simplify right side
    734.70x = 2,512,844.18
  5. Step 5: Solve for x
    x = 2,512,844.18/734.70
  6. Step 6: Final answer
    x = 3,420.25

Related Problems

Find third proportional to 367.35 and 792.60
Half scale
Find third proportional to 1,469.39 and 3,170.39
Double scale
Find third proportional to 737 and 1,590
Similar ratio
Find third proportional to 1,102.04 and 2,377.79
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.