Home / 58-82.50

Finding the Third Proportional to 58 and 82.50

Calculator

Solution

The third proportional to 58 and 82.50 is: 117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58 : 82.50 = 82.50 : x
  2. Step 2: Convert to fraction form
    58/82.50 = 82.50/x
  3. Step 3: Cross multiply
    58x = 82.50 × 82.50
  4. Step 4: Simplify right side
    58x = 6,806.25
  5. Step 5: Solve for x
    x = 6,806.25/58
  6. Step 6: Final answer
    x = 117.35

Related Problems

Find third proportional to 29 and 41.25
Half scale
Find third proportional to 116 and 165
Double scale
Find third proportional to 60 and 85
Similar ratio
Find third proportional to 87 and 123.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.