Home / 36,864-48,384

Finding the Third Proportional to 36,864 and 48,384

Calculator

Solution

The third proportional to 36,864 and 48,384 is: 63,504

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,864 : 48,384 = 48,384 : x
  2. Step 2: Convert to fraction form
    36,864/48,384 = 48,384/x
  3. Step 3: Cross multiply
    36,864x = 48,384 × 48,384
  4. Step 4: Simplify right side
    36,864x = 2,341,011,456
  5. Step 5: Solve for x
    x = 2,341,011,456/36,864
  6. Step 6: Final answer
    x = 63,504

Related Problems

Find third proportional to 18,432 and 24,192
Half scale
Find third proportional to 73,728 and 96,768
Double scale
Find third proportional to 36,866 and 48,387
Similar ratio
Find third proportional to 55,296 and 72,576
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.