Home / 392-578

Finding the Third Proportional to 392 and 578

Calculator

Solution

The third proportional to 392 and 578 is: 852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392 : 578 = 578 : x
  2. Step 2: Convert to fraction form
    392/578 = 578/x
  3. Step 3: Cross multiply
    392x = 578 × 578
  4. Step 4: Simplify right side
    392x = 334,084
  5. Step 5: Solve for x
    x = 334,084/392
  6. Step 6: Final answer
    x = 852.26

Related Problems

Find third proportional to 196 and 289
Half scale
Find third proportional to 784 and 1,156
Double scale
Find third proportional to 394 and 581
Similar ratio
Find third proportional to 588 and 867
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.