Home / 667.13-716.06

Finding the Third Proportional to 667.13 and 716.06

Calculator

Solution

The third proportional to 667.13 and 716.06 is: 768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.13 : 716.06 = 716.06 : x
  2. Step 2: Convert to fraction form
    667.13/716.06 = 716.06/x
  3. Step 3: Cross multiply
    667.13x = 716.06 × 716.06
  4. Step 4: Simplify right side
    667.13x = 512,745.50
  5. Step 5: Solve for x
    x = 512,745.50/667.13
  6. Step 6: Final answer
    x = 768.59

Related Problems

Find third proportional to 333.56 and 358.03
Half scale
Find third proportional to 1,334.25 and 1,432.13
Double scale
Find third proportional to 669 and 718
Similar ratio
Find third proportional to 1,000.69 and 1,074.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.