Home / 518.50-589

Finding the Third Proportional to 518.50 and 589

Calculator

Solution

The third proportional to 518.50 and 589 is: 669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.50 : 589 = 589 : x
  2. Step 2: Convert to fraction form
    518.50/589 = 589/x
  3. Step 3: Cross multiply
    518.50x = 589 × 589
  4. Step 4: Simplify right side
    518.50x = 346,921
  5. Step 5: Solve for x
    x = 346,921/518.50
  6. Step 6: Final answer
    x = 669.09

Related Problems

Find third proportional to 259.25 and 294.50
Half scale
Find third proportional to 1,037 and 1,178
Double scale
Find third proportional to 521 and 591
Similar ratio
Find third proportional to 777.75 and 883.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.