Home / 430-564

Finding the Third Proportional to 430 and 564

Calculator

Solution

The third proportional to 430 and 564 is: 739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430 : 564 = 564 : x
  2. Step 2: Convert to fraction form
    430/564 = 564/x
  3. Step 3: Cross multiply
    430x = 564 × 564
  4. Step 4: Simplify right side
    430x = 318,096
  5. Step 5: Solve for x
    x = 318,096/430
  6. Step 6: Final answer
    x = 739.76

Related Problems

Find third proportional to 215 and 282
Half scale
Find third proportional to 860 and 1,128
Double scale
Find third proportional to 432 and 567
Similar ratio
Find third proportional to 645 and 846
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.