Home / 473.13-706.43

Finding the Third Proportional to 473.13 and 706.43

Calculator

Solution

The third proportional to 473.13 and 706.43 is: 1,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.13 : 706.43 = 706.43 : x
  2. Step 2: Convert to fraction form
    473.13/706.43 = 706.43/x
  3. Step 3: Cross multiply
    473.13x = 706.43 × 706.43
  4. Step 4: Simplify right side
    473.13x = 499,042.90
  5. Step 5: Solve for x
    x = 499,042.90/473.13
  6. Step 6: Final answer
    x = 1,054.76

Related Problems

Find third proportional to 236.57 and 353.21
Half scale
Find third proportional to 946.27 and 1,412.86
Double scale
Find third proportional to 475 and 709
Similar ratio
Find third proportional to 709.70 and 1,059.64
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.