Home / 7,100-14,657

Finding the Third Proportional to 7,100 and 14,657

Calculator

Solution

The third proportional to 7,100 and 14,657 is: 30,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100 : 14,657 = 14,657 : x
  2. Step 2: Convert to fraction form
    7,100/14,657 = 14,657/x
  3. Step 3: Cross multiply
    7,100x = 14,657 × 14,657
  4. Step 4: Simplify right side
    7,100x = 214,827,649
  5. Step 5: Solve for x
    x = 214,827,649/7,100
  6. Step 6: Final answer
    x = 30,257.42

Related Problems

Find third proportional to 3,550 and 7,328.50
Half scale
Find third proportional to 14,200 and 29,314
Double scale
Find third proportional to 7,102 and 14,661
Similar ratio
Find third proportional to 10,650 and 21,985.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.