Home / 285.71-408.64

Finding the Third Proportional to 285.71 and 408.64

Calculator

Solution

The third proportional to 285.71 and 408.64 is: 584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.71 : 408.64 = 408.64 : x
  2. Step 2: Convert to fraction form
    285.71/408.64 = 408.64/x
  3. Step 3: Cross multiply
    285.71x = 408.64 × 408.64
  4. Step 4: Simplify right side
    285.71x = 166,985.56
  5. Step 5: Solve for x
    x = 166,985.56/285.71
  6. Step 6: Final answer
    x = 584.45

Related Problems

Find third proportional to 142.86 and 204.32
Half scale
Find third proportional to 571.43 and 817.28
Double scale
Find third proportional to 288 and 411
Similar ratio
Find third proportional to 428.57 and 612.96
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.