Home / 147.13-313.72

Finding the Third Proportional to 147.13 and 313.72

Calculator

Solution

The third proportional to 147.13 and 313.72 is: 668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.13 : 313.72 = 313.72 : x
  2. Step 2: Convert to fraction form
    147.13/313.72 = 313.72/x
  3. Step 3: Cross multiply
    147.13x = 313.72 × 313.72
  4. Step 4: Simplify right side
    147.13x = 98,418.23
  5. Step 5: Solve for x
    x = 98,418.23/147.13
  6. Step 6: Final answer
    x = 668.93

Related Problems

Find third proportional to 73.56 and 156.86
Half scale
Find third proportional to 294.26 and 627.43
Double scale
Find third proportional to 149 and 318
Similar ratio
Find third proportional to 220.69 and 470.58
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.