Home / 34-77.50

Finding the Third Proportional to 34 and 77.50

Calculator

Solution

The third proportional to 34 and 77.50 is: 176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 77.50 = 77.50 : x
  2. Step 2: Convert to fraction form
    34/77.50 = 77.50/x
  3. Step 3: Cross multiply
    34x = 77.50 × 77.50
  4. Step 4: Simplify right side
    34x = 6,006.25
  5. Step 5: Solve for x
    x = 6,006.25/34
  6. Step 6: Final answer
    x = 176.65

Related Problems

Find third proportional to 17 and 38.75
Half scale
Find third proportional to 68 and 155
Double scale
Find third proportional to 36 and 82
Similar ratio
Find third proportional to 51 and 116.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.