Home / 289.13-586.13

Finding the Third Proportional to 289.13 and 586.13

Calculator

Solution

The third proportional to 289.13 and 586.13 is: 1,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.13 : 586.13 = 586.13 : x
  2. Step 2: Convert to fraction form
    289.13/586.13 = 586.13/x
  3. Step 3: Cross multiply
    289.13x = 586.13 × 586.13
  4. Step 4: Simplify right side
    289.13x = 343,542.52
  5. Step 5: Solve for x
    x = 343,542.52/289.13
  6. Step 6: Final answer
    x = 1,188.21

Related Problems

Find third proportional to 144.56 and 293.06
Half scale
Find third proportional to 578.25 and 1,172.25
Double scale
Find third proportional to 291 and 590
Similar ratio
Find third proportional to 433.69 and 879.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.