Home / 160-256.50

Finding the Third Proportional to 160 and 256.50

Calculator

Solution

The third proportional to 160 and 256.50 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160 : 256.50 = 256.50 : x
  2. Step 2: Convert to fraction form
    160/256.50 = 256.50/x
  3. Step 3: Cross multiply
    160x = 256.50 × 256.50
  4. Step 4: Simplify right side
    160x = 65,792.25
  5. Step 5: Solve for x
    x = 65,792.25/160
  6. Step 6: Final answer
    x = 411.20

Related Problems

Find third proportional to 80 and 128.25
Half scale
Find third proportional to 320 and 513
Double scale
Find third proportional to 162 and 260
Similar ratio
Find third proportional to 240 and 384.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.