Home / 205.38-477.06

Finding the Third Proportional to 205.38 and 477.06

Calculator

Solution

The third proportional to 205.38 and 477.06 is: 1,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 477.06 = 477.06 : x
  2. Step 2: Convert to fraction form
    205.38/477.06 = 477.06/x
  3. Step 3: Cross multiply
    205.38x = 477.06 × 477.06
  4. Step 4: Simplify right side
    205.38x = 227,588.63
  5. Step 5: Solve for x
    x = 227,588.63/205.38
  6. Step 6: Final answer
    x = 1,108.16

Related Problems

Find third proportional to 102.69 and 238.53
Half scale
Find third proportional to 410.75 and 954.13
Double scale
Find third proportional to 207 and 482
Similar ratio
Find third proportional to 308.06 and 715.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.