Home / 386-584

Finding the Third Proportional to 386 and 584

Calculator

Solution

The third proportional to 386 and 584 is: 883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386 : 584 = 584 : x
  2. Step 2: Convert to fraction form
    386/584 = 584/x
  3. Step 3: Cross multiply
    386x = 584 × 584
  4. Step 4: Simplify right side
    386x = 341,056
  5. Step 5: Solve for x
    x = 341,056/386
  6. Step 6: Final answer
    x = 883.56

Related Problems

Find third proportional to 193 and 292
Half scale
Find third proportional to 772 and 1,168
Double scale
Find third proportional to 388 and 587
Similar ratio
Find third proportional to 579 and 876
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.