Home / 20,328-31,289

Finding the Third Proportional to 20,328 and 31,289

Calculator

Solution

The third proportional to 20,328 and 31,289 is: 48,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,328 : 31,289 = 31,289 : x
  2. Step 2: Convert to fraction form
    20,328/31,289 = 31,289/x
  3. Step 3: Cross multiply
    20,328x = 31,289 × 31,289
  4. Step 4: Simplify right side
    20,328x = 979,001,521
  5. Step 5: Solve for x
    x = 979,001,521/20,328
  6. Step 6: Final answer
    x = 48,160.25

Related Problems

Find third proportional to 10,164 and 15,644.50
Half scale
Find third proportional to 40,656 and 62,578
Double scale
Find third proportional to 20,330 and 31,292
Similar ratio
Find third proportional to 30,492 and 46,933.50
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.