Home / 66-71.50

Finding the Third Proportional to 66 and 71.50

Calculator

Solution

The third proportional to 66 and 71.50 is: 77.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66 : 71.50 = 71.50 : x
  2. Step 2: Convert to fraction form
    66/71.50 = 71.50/x
  3. Step 3: Cross multiply
    66x = 71.50 × 71.50
  4. Step 4: Simplify right side
    66x = 5,112.25
  5. Step 5: Solve for x
    x = 5,112.25/66
  6. Step 6: Final answer
    x = 77.46

Related Problems

Find third proportional to 33 and 35.75
Half scale
Find third proportional to 132 and 143
Double scale
Find third proportional to 68 and 74
Similar ratio
Find third proportional to 99 and 107.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.