Home / 314,566-678,956

Finding the Third Proportional to 314,566 and 678,956

Calculator

Solution

The third proportional to 314,566 and 678,956 is: 1,465,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,566 : 678,956 = 678,956 : x
  2. Step 2: Convert to fraction form
    314,566/678,956 = 678,956/x
  3. Step 3: Cross multiply
    314,566x = 678,956 × 678,956
  4. Step 4: Simplify right side
    314,566x = 460,981,249,936
  5. Step 5: Solve for x
    x = 460,981,249,936/314,566
  6. Step 6: Final answer
    x = 1,465,451.61

Related Problems

Find third proportional to 157,283 and 339,478
Half scale
Find third proportional to 629,132 and 1,357,912
Double scale
Find third proportional to 314,568 and 678,960
Similar ratio
Find third proportional to 471,849 and 1,018,434
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.