Home / 323,420-680,354

Finding the Third Proportional to 323,420 and 680,354

Calculator

Solution

The third proportional to 323,420 and 680,354 is: 1,431,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,420 : 680,354 = 680,354 : x
  2. Step 2: Convert to fraction form
    323,420/680,354 = 680,354/x
  3. Step 3: Cross multiply
    323,420x = 680,354 × 680,354
  4. Step 4: Simplify right side
    323,420x = 462,881,565,316
  5. Step 5: Solve for x
    x = 462,881,565,316/323,420
  6. Step 6: Final answer
    x = 1,431,208.85

Related Problems

Find third proportional to 161,710 and 340,177
Half scale
Find third proportional to 646,840 and 1,360,708
Double scale
Find third proportional to 323,422 and 680,358
Similar ratio
Find third proportional to 485,130 and 1,020,531
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.