Home / 53,204-82,328

Finding the Third Proportional to 53,204 and 82,328

Calculator

Solution

The third proportional to 53,204 and 82,328 is: 127,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204 : 82,328 = 82,328 : x
  2. Step 2: Convert to fraction form
    53,204/82,328 = 82,328/x
  3. Step 3: Cross multiply
    53,204x = 82,328 × 82,328
  4. Step 4: Simplify right side
    53,204x = 6,777,899,584
  5. Step 5: Solve for x
    x = 6,777,899,584/53,204
  6. Step 6: Final answer
    x = 127,394.55

Related Problems

Find third proportional to 26,602 and 41,164
Half scale
Find third proportional to 106,408 and 164,656
Double scale
Find third proportional to 53,206 and 82,331
Similar ratio
Find third proportional to 79,806 and 123,492
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.