Home / 75.78-174.74

Finding the Third Proportional to 75.78 and 174.74

Calculator

Solution

The third proportional to 75.78 and 174.74 is: 402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 174.74 = 174.74 : x
  2. Step 2: Convert to fraction form
    75.78/174.74 = 174.74/x
  3. Step 3: Cross multiply
    75.78x = 174.74 × 174.74
  4. Step 4: Simplify right side
    75.78x = 30,532.44
  5. Step 5: Solve for x
    x = 30,532.44/75.78
  6. Step 6: Final answer
    x = 402.91

Related Problems

Find third proportional to 37.89 and 87.37
Half scale
Find third proportional to 151.56 and 349.47
Double scale
Find third proportional to 78 and 179
Similar ratio
Find third proportional to 113.67 and 262.10
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.