Home / 53.16-69.61

Finding the Third Proportional to 53.16 and 69.61

Calculator

Solution

The third proportional to 53.16 and 69.61 is: 91.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.16 : 69.61 = 69.61 : x
  2. Step 2: Convert to fraction form
    53.16/69.61 = 69.61/x
  3. Step 3: Cross multiply
    53.16x = 69.61 × 69.61
  4. Step 4: Simplify right side
    53.16x = 4,845.47
  5. Step 5: Solve for x
    x = 4,845.47/53.16
  6. Step 6: Final answer
    x = 91.16

Related Problems

Find third proportional to 26.58 and 34.80
Half scale
Find third proportional to 106.31 and 139.22
Double scale
Find third proportional to 55 and 72
Similar ratio
Find third proportional to 79.73 and 104.41
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.