Home / 138,533-302,986

Finding the Third Proportional to 138,533 and 302,986

Calculator

Solution

The third proportional to 138,533 and 302,986 is: 662,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,533 : 302,986 = 302,986 : x
  2. Step 2: Convert to fraction form
    138,533/302,986 = 302,986/x
  3. Step 3: Cross multiply
    138,533x = 302,986 × 302,986
  4. Step 4: Simplify right side
    138,533x = 91,800,516,196
  5. Step 5: Solve for x
    x = 91,800,516,196/138,533
  6. Step 6: Final answer
    x = 662,661.72

Related Problems

Find third proportional to 69,266.50 and 151,493
Half scale
Find third proportional to 277,066 and 605,972
Double scale
Find third proportional to 138,535 and 302,990
Similar ratio
Find third proportional to 207,799.50 and 454,479
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.