Home / 431,469-668,694

Finding the Third Proportional to 431,469 and 668,694

Calculator

Solution

The third proportional to 431,469 and 668,694 is: 1,036,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,469 : 668,694 = 668,694 : x
  2. Step 2: Convert to fraction form
    431,469/668,694 = 668,694/x
  3. Step 3: Cross multiply
    431,469x = 668,694 × 668,694
  4. Step 4: Simplify right side
    431,469x = 447,151,665,636
  5. Step 5: Solve for x
    x = 447,151,665,636/431,469
  6. Step 6: Final answer
    x = 1,036,347.14

Related Problems

Find third proportional to 215,734.50 and 334,347
Half scale
Find third proportional to 862,938 and 1,337,388
Double scale
Find third proportional to 431,471 and 668,697
Similar ratio
Find third proportional to 647,203.50 and 1,003,041
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.