Home / 174.02-343.62

Finding the Third Proportional to 174.02 and 343.62

Calculator

Solution

The third proportional to 174.02 and 343.62 is: 678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.02 : 343.62 = 343.62 : x
  2. Step 2: Convert to fraction form
    174.02/343.62 = 343.62/x
  3. Step 3: Cross multiply
    174.02x = 343.62 × 343.62
  4. Step 4: Simplify right side
    174.02x = 118,072.77
  5. Step 5: Solve for x
    x = 118,072.77/174.02
  6. Step 6: Final answer
    x = 678.49

Related Problems

Find third proportional to 87.01 and 171.81
Half scale
Find third proportional to 348.05 and 687.23
Double scale
Find third proportional to 176 and 348
Similar ratio
Find third proportional to 261.04 and 515.43
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.