Home / 149,693-322,714

Finding the Third Proportional to 149,693 and 322,714

Calculator

Solution

The third proportional to 149,693 and 322,714 is: 695,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,693 : 322,714 = 322,714 : x
  2. Step 2: Convert to fraction form
    149,693/322,714 = 322,714/x
  3. Step 3: Cross multiply
    149,693x = 322,714 × 322,714
  4. Step 4: Simplify right side
    149,693x = 104,144,325,796
  5. Step 5: Solve for x
    x = 104,144,325,796/149,693
  6. Step 6: Final answer
    x = 695,719.41

Related Problems

Find third proportional to 74,846.50 and 161,357
Half scale
Find third proportional to 299,386 and 645,428
Double scale
Find third proportional to 149,695 and 322,718
Similar ratio
Find third proportional to 224,539.50 and 484,071
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.