Home / 53-84

Finding the Third Proportional to 53 and 84

Calculator

Solution

The third proportional to 53 and 84 is: 133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53 : 84 = 84 : x
  2. Step 2: Convert to fraction form
    53/84 = 84/x
  3. Step 3: Cross multiply
    53x = 84 × 84
  4. Step 4: Simplify right side
    53x = 7,056
  5. Step 5: Solve for x
    x = 7,056/53
  6. Step 6: Final answer
    x = 133.13

Related Problems

Find third proportional to 26.50 and 42
Half scale
Find third proportional to 106 and 168
Double scale
Find third proportional to 55 and 87
Similar ratio
Find third proportional to 79.50 and 126
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.