Home / 548-589

Finding the Third Proportional to 548 and 589

Calculator

Solution

The third proportional to 548 and 589 is: 633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    548 : 589 = 589 : x
  2. Step 2: Convert to fraction form
    548/589 = 589/x
  3. Step 3: Cross multiply
    548x = 589 × 589
  4. Step 4: Simplify right side
    548x = 346,921
  5. Step 5: Solve for x
    x = 346,921/548
  6. Step 6: Final answer
    x = 633.07

Related Problems

Find third proportional to 274 and 294.50
Half scale
Find third proportional to 1,096 and 1,178
Double scale
Find third proportional to 550 and 591
Similar ratio
Find third proportional to 822 and 883.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.