Home / 199,619-307,691

Finding the Third Proportional to 199,619 and 307,691

Calculator

Solution

The third proportional to 199,619 and 307,691 is: 474,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,619 : 307,691 = 307,691 : x
  2. Step 2: Convert to fraction form
    199,619/307,691 = 307,691/x
  3. Step 3: Cross multiply
    199,619x = 307,691 × 307,691
  4. Step 4: Simplify right side
    199,619x = 94,673,751,481
  5. Step 5: Solve for x
    x = 94,673,751,481/199,619
  6. Step 6: Final answer
    x = 474,272.25

Related Problems

Find third proportional to 99,809.50 and 153,845.50
Half scale
Find third proportional to 399,238 and 615,382
Double scale
Find third proportional to 199,621 and 307,694
Similar ratio
Find third proportional to 299,428.50 and 461,536.50
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.