Home / 598-847

Finding the Third Proportional to 598 and 847

Calculator

Solution

The third proportional to 598 and 847 is: 1,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598 : 847 = 847 : x
  2. Step 2: Convert to fraction form
    598/847 = 847/x
  3. Step 3: Cross multiply
    598x = 847 × 847
  4. Step 4: Simplify right side
    598x = 717,409
  5. Step 5: Solve for x
    x = 717,409/598
  6. Step 6: Final answer
    x = 1,199.68

Related Problems

Find third proportional to 299 and 423.50
Half scale
Find third proportional to 1,196 and 1,694
Double scale
Find third proportional to 600 and 850
Similar ratio
Find third proportional to 897 and 1,270.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.