Home / 7,097-8,213

Finding the Third Proportional to 7,097 and 8,213

Calculator

Solution

The third proportional to 7,097 and 8,213 is: 9,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097 : 8,213 = 8,213 : x
  2. Step 2: Convert to fraction form
    7,097/8,213 = 8,213/x
  3. Step 3: Cross multiply
    7,097x = 8,213 × 8,213
  4. Step 4: Simplify right side
    7,097x = 67,453,369
  5. Step 5: Solve for x
    x = 67,453,369/7,097
  6. Step 6: Final answer
    x = 9,504.49

Related Problems

Find third proportional to 3,548.50 and 4,106.50
Half scale
Find third proportional to 14,194 and 16,426
Double scale
Find third proportional to 7,099 and 8,215
Similar ratio
Find third proportional to 10,645.50 and 12,319.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.