Home / 32,002-68,909

Finding the Third Proportional to 32,002 and 68,909

Calculator

Solution

The third proportional to 32,002 and 68,909 is: 148,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002 : 68,909 = 68,909 : x
  2. Step 2: Convert to fraction form
    32,002/68,909 = 68,909/x
  3. Step 3: Cross multiply
    32,002x = 68,909 × 68,909
  4. Step 4: Simplify right side
    32,002x = 4,748,450,281
  5. Step 5: Solve for x
    x = 4,748,450,281/32,002
  6. Step 6: Final answer
    x = 148,379.80

Related Problems

Find third proportional to 16,001 and 34,454.50
Half scale
Find third proportional to 64,004 and 137,818
Double scale
Find third proportional to 32,004 and 68,913
Similar ratio
Find third proportional to 48,003 and 103,363.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.