Home / 194.50-402

Finding the Third Proportional to 194.50 and 402

Calculator

Solution

The third proportional to 194.50 and 402 is: 830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.50 : 402 = 402 : x
  2. Step 2: Convert to fraction form
    194.50/402 = 402/x
  3. Step 3: Cross multiply
    194.50x = 402 × 402
  4. Step 4: Simplify right side
    194.50x = 161,604
  5. Step 5: Solve for x
    x = 161,604/194.50
  6. Step 6: Final answer
    x = 830.87

Related Problems

Find third proportional to 97.25 and 201
Half scale
Find third proportional to 389 and 804
Double scale
Find third proportional to 197 and 406
Similar ratio
Find third proportional to 291.75 and 603
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.