Home / 19.50-53

Finding the Third Proportional to 19.50 and 53

Calculator

Solution

The third proportional to 19.50 and 53 is: 144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.50 : 53 = 53 : x
  2. Step 2: Convert to fraction form
    19.50/53 = 53/x
  3. Step 3: Cross multiply
    19.50x = 53 × 53
  4. Step 4: Simplify right side
    19.50x = 2,809
  5. Step 5: Solve for x
    x = 2,809/19.50
  6. Step 6: Final answer
    x = 144.05

Related Problems

Find third proportional to 9.75 and 26.50
Half scale
Find third proportional to 39 and 106
Double scale
Find third proportional to 22 and 58
Similar ratio
Find third proportional to 29.25 and 79.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.