Home / 311,284-703,402

Finding the Third Proportional to 311,284 and 703,402

Calculator

Solution

The third proportional to 311,284 and 703,402 is: 1,589,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,284 : 703,402 = 703,402 : x
  2. Step 2: Convert to fraction form
    311,284/703,402 = 703,402/x
  3. Step 3: Cross multiply
    311,284x = 703,402 × 703,402
  4. Step 4: Simplify right side
    311,284x = 494,774,373,604
  5. Step 5: Solve for x
    x = 494,774,373,604/311,284
  6. Step 6: Final answer
    x = 1,589,462.91

Related Problems

Find third proportional to 155,642 and 351,701
Half scale
Find third proportional to 622,568 and 1,406,804
Double scale
Find third proportional to 311,286 and 703,407
Similar ratio
Find third proportional to 466,926 and 1,055,103
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.