Home / 147-314

Finding the Third Proportional to 147 and 314

Calculator

Solution

The third proportional to 147 and 314 is: 670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147 : 314 = 314 : x
  2. Step 2: Convert to fraction form
    147/314 = 314/x
  3. Step 3: Cross multiply
    147x = 314 × 314
  4. Step 4: Simplify right side
    147x = 98,596
  5. Step 5: Solve for x
    x = 98,596/147
  6. Step 6: Final answer
    x = 670.72

Related Problems

Find third proportional to 73.50 and 157
Half scale
Find third proportional to 294 and 628
Double scale
Find third proportional to 149 and 318
Similar ratio
Find third proportional to 220.50 and 471
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.