Home / 343.13-506.81

Finding the Third Proportional to 343.13 and 506.81

Calculator

Solution

The third proportional to 343.13 and 506.81 is: 748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.13 : 506.81 = 506.81 : x
  2. Step 2: Convert to fraction form
    343.13/506.81 = 506.81/x
  3. Step 3: Cross multiply
    343.13x = 506.81 × 506.81
  4. Step 4: Simplify right side
    343.13x = 256,858.91
  5. Step 5: Solve for x
    x = 256,858.91/343.13
  6. Step 6: Final answer
    x = 748.59

Related Problems

Find third proportional to 171.56 and 253.41
Half scale
Find third proportional to 686.25 and 1,013.63
Double scale
Find third proportional to 345 and 510
Similar ratio
Find third proportional to 514.69 and 760.22
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.