Home / 300,412-463,865

Finding the Third Proportional to 300,412 and 463,865

Calculator

Solution

The third proportional to 300,412 and 463,865 is: 716,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,412 : 463,865 = 463,865 : x
  2. Step 2: Convert to fraction form
    300,412/463,865 = 463,865/x
  3. Step 3: Cross multiply
    300,412x = 463,865 × 463,865
  4. Step 4: Simplify right side
    300,412x = 215,170,738,225
  5. Step 5: Solve for x
    x = 215,170,738,225/300,412
  6. Step 6: Final answer
    x = 716,252.14

Related Problems

Find third proportional to 150,206 and 231,932.50
Half scale
Find third proportional to 600,824 and 927,730
Double scale
Find third proportional to 300,414 and 463,868
Similar ratio
Find third proportional to 450,618 and 695,797.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.