Home / 240.47-406.13

Finding the Third Proportional to 240.47 and 406.13

Calculator

Solution

The third proportional to 240.47 and 406.13 is: 685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.47 : 406.13 = 406.13 : x
  2. Step 2: Convert to fraction form
    240.47/406.13 = 406.13/x
  3. Step 3: Cross multiply
    240.47x = 406.13 × 406.13
  4. Step 4: Simplify right side
    240.47x = 164,937.52
  5. Step 5: Solve for x
    x = 164,937.52/240.47
  6. Step 6: Final answer
    x = 685.90

Related Problems

Find third proportional to 120.23 and 203.06
Half scale
Find third proportional to 480.94 and 812.25
Double scale
Find third proportional to 242 and 410
Similar ratio
Find third proportional to 360.70 and 609.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.