Home / 316,105-684,698

Finding the Third Proportional to 316,105 and 684,698

Calculator

Solution

The third proportional to 316,105 and 684,698 is: 1,483,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,105 : 684,698 = 684,698 : x
  2. Step 2: Convert to fraction form
    316,105/684,698 = 684,698/x
  3. Step 3: Cross multiply
    316,105x = 684,698 × 684,698
  4. Step 4: Simplify right side
    316,105x = 468,811,351,204
  5. Step 5: Solve for x
    x = 468,811,351,204/316,105
  6. Step 6: Final answer
    x = 1,483,087.43

Related Problems

Find third proportional to 158,052.50 and 342,349
Half scale
Find third proportional to 632,210 and 1,369,396
Double scale
Find third proportional to 316,107 and 684,702
Similar ratio
Find third proportional to 474,157.50 and 1,027,047
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.