Home / 24,000-37,702

Finding the Third Proportional to 24,000 and 37,702

Calculator

Solution

The third proportional to 24,000 and 37,702 is: 59,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000 : 37,702 = 37,702 : x
  2. Step 2: Convert to fraction form
    24,000/37,702 = 37,702/x
  3. Step 3: Cross multiply
    24,000x = 37,702 × 37,702
  4. Step 4: Simplify right side
    24,000x = 1,421,440,804
  5. Step 5: Solve for x
    x = 1,421,440,804/24,000
  6. Step 6: Final answer
    x = 59,226.70

Related Problems

Find third proportional to 12,000 and 18,851
Half scale
Find third proportional to 48,000 and 75,404
Double scale
Find third proportional to 24,002 and 37,705
Similar ratio
Find third proportional to 36,000 and 56,553
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.