Home / 53.69-88.19

Finding the Third Proportional to 53.69 and 88.19

Calculator

Solution

The third proportional to 53.69 and 88.19 is: 144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.69 : 88.19 = 88.19 : x
  2. Step 2: Convert to fraction form
    53.69/88.19 = 88.19/x
  3. Step 3: Cross multiply
    53.69x = 88.19 × 88.19
  4. Step 4: Simplify right side
    53.69x = 7,777.04
  5. Step 5: Solve for x
    x = 7,777.04/53.69
  6. Step 6: Final answer
    x = 144.86

Related Problems

Find third proportional to 26.84 and 44.09
Half scale
Find third proportional to 107.38 and 176.38
Double scale
Find third proportional to 56 and 91
Similar ratio
Find third proportional to 80.53 and 132.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.