Home / 160-382.50

Finding the Third Proportional to 160 and 382.50

Calculator

Solution

The third proportional to 160 and 382.50 is: 914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160 : 382.50 = 382.50 : x
  2. Step 2: Convert to fraction form
    160/382.50 = 382.50/x
  3. Step 3: Cross multiply
    160x = 382.50 × 382.50
  4. Step 4: Simplify right side
    160x = 146,306.25
  5. Step 5: Solve for x
    x = 146,306.25/160
  6. Step 6: Final answer
    x = 914.41

Related Problems

Find third proportional to 80 and 191.25
Half scale
Find third proportional to 320 and 765
Double scale
Find third proportional to 162 and 387
Similar ratio
Find third proportional to 240 and 573.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.