Home / 536-589

Finding the Third Proportional to 536 and 589

Calculator

Solution

The third proportional to 536 and 589 is: 647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    536 : 589 = 589 : x
  2. Step 2: Convert to fraction form
    536/589 = 589/x
  3. Step 3: Cross multiply
    536x = 589 × 589
  4. Step 4: Simplify right side
    536x = 346,921
  5. Step 5: Solve for x
    x = 346,921/536
  6. Step 6: Final answer
    x = 647.24

Related Problems

Find third proportional to 268 and 294.50
Half scale
Find third proportional to 1,072 and 1,178
Double scale
Find third proportional to 538 and 591
Similar ratio
Find third proportional to 804 and 883.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.