Home / 165.84-176.53

Finding the Third Proportional to 165.84 and 176.53

Calculator

Solution

The third proportional to 165.84 and 176.53 is: 187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 176.53 = 176.53 : x
  2. Step 2: Convert to fraction form
    165.84/176.53 = 176.53/x
  3. Step 3: Cross multiply
    165.84x = 176.53 × 176.53
  4. Step 4: Simplify right side
    165.84x = 31,163.28
  5. Step 5: Solve for x
    x = 31,163.28/165.84
  6. Step 6: Final answer
    x = 187.91

Related Problems

Find third proportional to 82.92 and 88.27
Half scale
Find third proportional to 331.69 and 353.06
Double scale
Find third proportional to 168 and 179
Similar ratio
Find third proportional to 248.77 and 264.80
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.