Home / 143-343

Finding the Third Proportional to 143 and 343

Calculator

Solution

The third proportional to 143 and 343 is: 822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143 : 343 = 343 : x
  2. Step 2: Convert to fraction form
    143/343 = 343/x
  3. Step 3: Cross multiply
    143x = 343 × 343
  4. Step 4: Simplify right side
    143x = 117,649
  5. Step 5: Solve for x
    x = 117,649/143
  6. Step 6: Final answer
    x = 822.72

Related Problems

Find third proportional to 71.50 and 171.50
Half scale
Find third proportional to 286 and 686
Double scale
Find third proportional to 145 and 348
Similar ratio
Find third proportional to 214.50 and 514.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.