Home / 589-1,315

Finding the Third Proportional to 589 and 1,315

Calculator

Solution

The third proportional to 589 and 1,315 is: 2,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 1,315 = 1,315 : x
  2. Step 2: Convert to fraction form
    589/1,315 = 1,315/x
  3. Step 3: Cross multiply
    589x = 1,315 × 1,315
  4. Step 4: Simplify right side
    589x = 1,729,225
  5. Step 5: Solve for x
    x = 1,729,225/589
  6. Step 6: Final answer
    x = 2,935.87

Related Problems

Find third proportional to 294.50 and 657.50
Half scale
Find third proportional to 1,178 and 2,630
Double scale
Find third proportional to 591 and 1,319
Similar ratio
Find third proportional to 883.50 and 1,972.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.