Home / 516.56-708.19

Finding the Third Proportional to 516.56 and 708.19

Calculator

Solution

The third proportional to 516.56 and 708.19 is: 970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.56 : 708.19 = 708.19 : x
  2. Step 2: Convert to fraction form
    516.56/708.19 = 708.19/x
  3. Step 3: Cross multiply
    516.56x = 708.19 × 708.19
  4. Step 4: Simplify right side
    516.56x = 501,529.54
  5. Step 5: Solve for x
    x = 501,529.54/516.56
  6. Step 6: Final answer
    x = 970.90

Related Problems

Find third proportional to 258.28 and 354.09
Half scale
Find third proportional to 1,033.13 and 1,416.38
Double scale
Find third proportional to 519 and 711
Similar ratio
Find third proportional to 774.84 and 1,062.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.