Home / 13,410-31,611

Finding the Third Proportional to 13,410 and 31,611

Calculator

Solution

The third proportional to 13,410 and 31,611 is: 74,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410 : 31,611 = 31,611 : x
  2. Step 2: Convert to fraction form
    13,410/31,611 = 31,611/x
  3. Step 3: Cross multiply
    13,410x = 31,611 × 31,611
  4. Step 4: Simplify right side
    13,410x = 999,255,321
  5. Step 5: Solve for x
    x = 999,255,321/13,410
  6. Step 6: Final answer
    x = 74,515.68

Related Problems

Find third proportional to 6,705 and 15,805.50
Half scale
Find third proportional to 26,820 and 63,222
Double scale
Find third proportional to 13,412 and 31,616
Similar ratio
Find third proportional to 20,115 and 47,416.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.