Home / 299,742-642,120

Finding the Third Proportional to 299,742 and 642,120

Calculator

Solution

The third proportional to 299,742 and 642,120 is: 1,375,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,742 : 642,120 = 642,120 : x
  2. Step 2: Convert to fraction form
    299,742/642,120 = 642,120/x
  3. Step 3: Cross multiply
    299,742x = 642,120 × 642,120
  4. Step 4: Simplify right side
    299,742x = 412,318,094,400
  5. Step 5: Solve for x
    x = 412,318,094,400/299,742
  6. Step 6: Final answer
    x = 1,375,576.64

Related Problems

Find third proportional to 149,871 and 321,060
Half scale
Find third proportional to 599,484 and 1,284,240
Double scale
Find third proportional to 299,744 and 642,124
Similar ratio
Find third proportional to 449,613 and 963,180
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.