Home / 76.50-83.06

Finding the Third Proportional to 76.50 and 83.06

Calculator

Solution

The third proportional to 76.50 and 83.06 is: 90.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 83.06 = 83.06 : x
  2. Step 2: Convert to fraction form
    76.50/83.06 = 83.06/x
  3. Step 3: Cross multiply
    76.50x = 83.06 × 83.06
  4. Step 4: Simplify right side
    76.50x = 6,899.38
  5. Step 5: Solve for x
    x = 6,899.38/76.50
  6. Step 6: Final answer
    x = 90.19

Related Problems

Find third proportional to 38.25 and 41.53
Half scale
Find third proportional to 153 and 166.13
Double scale
Find third proportional to 79 and 85
Similar ratio
Find third proportional to 114.75 and 124.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.