Home / 7,670-10,221

Finding the Third Proportional to 7,670 and 10,221

Calculator

Solution

The third proportional to 7,670 and 10,221 is: 13,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670 : 10,221 = 10,221 : x
  2. Step 2: Convert to fraction form
    7,670/10,221 = 10,221/x
  3. Step 3: Cross multiply
    7,670x = 10,221 × 10,221
  4. Step 4: Simplify right side
    7,670x = 104,468,841
  5. Step 5: Solve for x
    x = 104,468,841/7,670
  6. Step 6: Final answer
    x = 13,620.45

Related Problems

Find third proportional to 3,835 and 5,110.50
Half scale
Find third proportional to 15,340 and 20,442
Double scale
Find third proportional to 7,672 and 10,224
Similar ratio
Find third proportional to 11,505 and 15,331.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.