Home / 174-382.25

Finding the Third Proportional to 174 and 382.25

Calculator

Solution

The third proportional to 174 and 382.25 is: 839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 382.25 = 382.25 : x
  2. Step 2: Convert to fraction form
    174/382.25 = 382.25/x
  3. Step 3: Cross multiply
    174x = 382.25 × 382.25
  4. Step 4: Simplify right side
    174x = 146,115.06
  5. Step 5: Solve for x
    x = 146,115.06/174
  6. Step 6: Final answer
    x = 839.74

Related Problems

Find third proportional to 87 and 191.13
Half scale
Find third proportional to 348 and 764.50
Double scale
Find third proportional to 176 and 387
Similar ratio
Find third proportional to 261 and 573.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.