Home / 374-564

Finding the Third Proportional to 374 and 564

Calculator

Solution

The third proportional to 374 and 564 is: 850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    374 : 564 = 564 : x
  2. Step 2: Convert to fraction form
    374/564 = 564/x
  3. Step 3: Cross multiply
    374x = 564 × 564
  4. Step 4: Simplify right side
    374x = 318,096
  5. Step 5: Solve for x
    x = 318,096/374
  6. Step 6: Final answer
    x = 850.52

Related Problems

Find third proportional to 187 and 282
Half scale
Find third proportional to 748 and 1,128
Double scale
Find third proportional to 376 and 567
Similar ratio
Find third proportional to 561 and 846
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.