Home / 54,206-83,420

Finding the Third Proportional to 54,206 and 83,420

Calculator

Solution

The third proportional to 54,206 and 83,420 is: 128,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,206 : 83,420 = 83,420 : x
  2. Step 2: Convert to fraction form
    54,206/83,420 = 83,420/x
  3. Step 3: Cross multiply
    54,206x = 83,420 × 83,420
  4. Step 4: Simplify right side
    54,206x = 6,958,896,400
  5. Step 5: Solve for x
    x = 6,958,896,400/54,206
  6. Step 6: Final answer
    x = 128,378.71

Related Problems

Find third proportional to 27,103 and 41,710
Half scale
Find third proportional to 108,412 and 166,840
Double scale
Find third proportional to 54,208 and 83,423
Similar ratio
Find third proportional to 81,309 and 125,130
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.