Home / 160.50-414

Finding the Third Proportional to 160.50 and 414

Calculator

Solution

The third proportional to 160.50 and 414 is: 1,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.50 : 414 = 414 : x
  2. Step 2: Convert to fraction form
    160.50/414 = 414/x
  3. Step 3: Cross multiply
    160.50x = 414 × 414
  4. Step 4: Simplify right side
    160.50x = 171,396
  5. Step 5: Solve for x
    x = 171,396/160.50
  6. Step 6: Final answer
    x = 1,067.89

Related Problems

Find third proportional to 80.25 and 207
Half scale
Find third proportional to 321 and 828
Double scale
Find third proportional to 163 and 419
Similar ratio
Find third proportional to 240.75 and 621
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.