Home / 142-314

Finding the Third Proportional to 142 and 314

Calculator

Solution

The third proportional to 142 and 314 is: 694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142 : 314 = 314 : x
  2. Step 2: Convert to fraction form
    142/314 = 314/x
  3. Step 3: Cross multiply
    142x = 314 × 314
  4. Step 4: Simplify right side
    142x = 98,596
  5. Step 5: Solve for x
    x = 98,596/142
  6. Step 6: Final answer
    x = 694.34

Related Problems

Find third proportional to 71 and 157
Half scale
Find third proportional to 284 and 628
Double scale
Find third proportional to 144 and 318
Similar ratio
Find third proportional to 213 and 471
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.