Home / 246-589

Finding the Third Proportional to 246 and 589

Calculator

Solution

The third proportional to 246 and 589 is: 1,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    246 : 589 = 589 : x
  2. Step 2: Convert to fraction form
    246/589 = 589/x
  3. Step 3: Cross multiply
    246x = 589 × 589
  4. Step 4: Simplify right side
    246x = 346,921
  5. Step 5: Solve for x
    x = 346,921/246
  6. Step 6: Final answer
    x = 1,410.25

Related Problems

Find third proportional to 123 and 294.50
Half scale
Find third proportional to 492 and 1,178
Double scale
Find third proportional to 248 and 594
Similar ratio
Find third proportional to 369 and 883.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.