Home / 177.50-343

Finding the Third Proportional to 177.50 and 343

Calculator

Solution

The third proportional to 177.50 and 343 is: 662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 343 = 343 : x
  2. Step 2: Convert to fraction form
    177.50/343 = 343/x
  3. Step 3: Cross multiply
    177.50x = 343 × 343
  4. Step 4: Simplify right side
    177.50x = 117,649
  5. Step 5: Solve for x
    x = 117,649/177.50
  6. Step 6: Final answer
    x = 662.81

Related Problems

Find third proportional to 88.75 and 171.50
Half scale
Find third proportional to 355 and 686
Double scale
Find third proportional to 180 and 347
Similar ratio
Find third proportional to 266.25 and 514.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.