Home / 316.80-689.13

Finding the Third Proportional to 316.80 and 689.13

Calculator

Solution

The third proportional to 316.80 and 689.13 is: 1,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.80 : 689.13 = 689.13 : x
  2. Step 2: Convert to fraction form
    316.80/689.13 = 689.13/x
  3. Step 3: Cross multiply
    316.80x = 689.13 × 689.13
  4. Step 4: Simplify right side
    316.80x = 474,904.03
  5. Step 5: Solve for x
    x = 474,904.03/316.80
  6. Step 6: Final answer
    x = 1,499.06

Related Problems

Find third proportional to 158.40 and 344.57
Half scale
Find third proportional to 633.60 and 1,378.27
Double scale
Find third proportional to 319 and 693
Similar ratio
Find third proportional to 475.20 and 1,033.70
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.