Home / 159.75-413.53

Finding the Third Proportional to 159.75 and 413.53

Calculator

Solution

The third proportional to 159.75 and 413.53 is: 1,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.75 : 413.53 = 413.53 : x
  2. Step 2: Convert to fraction form
    159.75/413.53 = 413.53/x
  3. Step 3: Cross multiply
    159.75x = 413.53 × 413.53
  4. Step 4: Simplify right side
    159.75x = 171,008.09
  5. Step 5: Solve for x
    x = 171,008.09/159.75
  6. Step 6: Final answer
    x = 1,070.47

Related Problems

Find third proportional to 79.88 and 206.77
Half scale
Find third proportional to 319.50 and 827.06
Double scale
Find third proportional to 162 and 419
Similar ratio
Find third proportional to 239.63 and 620.30
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.