Home / 589-693

Finding the Third Proportional to 589 and 693

Calculator

Solution

The third proportional to 589 and 693 is: 815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 693 = 693 : x
  2. Step 2: Convert to fraction form
    589/693 = 693/x
  3. Step 3: Cross multiply
    589x = 693 × 693
  4. Step 4: Simplify right side
    589x = 480,249
  5. Step 5: Solve for x
    x = 480,249/589
  6. Step 6: Final answer
    x = 815.36

Related Problems

Find third proportional to 294.50 and 346.50
Half scale
Find third proportional to 1,178 and 1,386
Double scale
Find third proportional to 591 and 695
Similar ratio
Find third proportional to 883.50 and 1,039.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.