Home / 304.13-406.31

Finding the Third Proportional to 304.13 and 406.31

Calculator

Solution

The third proportional to 304.13 and 406.31 is: 542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.13 : 406.31 = 406.31 : x
  2. Step 2: Convert to fraction form
    304.13/406.31 = 406.31/x
  3. Step 3: Cross multiply
    304.13x = 406.31 × 406.31
  4. Step 4: Simplify right side
    304.13x = 165,089.85
  5. Step 5: Solve for x
    x = 165,089.85/304.13
  6. Step 6: Final answer
    x = 542.84

Related Problems

Find third proportional to 152.06 and 203.16
Half scale
Find third proportional to 608.25 and 812.63
Double scale
Find third proportional to 306 and 409
Similar ratio
Find third proportional to 456.19 and 609.47
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.