Home / 228.19-340.97

Finding the Third Proportional to 228.19 and 340.97

Calculator

Solution

The third proportional to 228.19 and 340.97 is: 509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.19 : 340.97 = 340.97 : x
  2. Step 2: Convert to fraction form
    228.19/340.97 = 340.97/x
  3. Step 3: Cross multiply
    228.19x = 340.97 × 340.97
  4. Step 4: Simplify right side
    228.19x = 116,259.69
  5. Step 5: Solve for x
    x = 116,259.69/228.19
  6. Step 6: Final answer
    x = 509.49

Related Problems

Find third proportional to 114.09 and 170.48
Half scale
Find third proportional to 456.38 and 681.94
Double scale
Find third proportional to 230 and 344
Similar ratio
Find third proportional to 342.28 and 511.45
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.