Home / 32,768-47,868

Finding the Third Proportional to 32,768 and 47,868

Calculator

Solution

The third proportional to 32,768 and 47,868 is: 69,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768 : 47,868 = 47,868 : x
  2. Step 2: Convert to fraction form
    32,768/47,868 = 47,868/x
  3. Step 3: Cross multiply
    32,768x = 47,868 × 47,868
  4. Step 4: Simplify right side
    32,768x = 2,291,345,424
  5. Step 5: Solve for x
    x = 2,291,345,424/32,768
  6. Step 6: Final answer
    x = 69,926.31

Related Problems

Find third proportional to 16,384 and 23,934
Half scale
Find third proportional to 65,536 and 95,736
Double scale
Find third proportional to 32,770 and 47,871
Similar ratio
Find third proportional to 49,152 and 71,802
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.