Home / 205,514-314,102

Finding the Third Proportional to 205,514 and 314,102

Calculator

Solution

The third proportional to 205,514 and 314,102 is: 480,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,514 : 314,102 = 314,102 : x
  2. Step 2: Convert to fraction form
    205,514/314,102 = 314,102/x
  3. Step 3: Cross multiply
    205,514x = 314,102 × 314,102
  4. Step 4: Simplify right side
    205,514x = 98,660,066,404
  5. Step 5: Solve for x
    x = 98,660,066,404/205,514
  6. Step 6: Final answer
    x = 480,064.94

Related Problems

Find third proportional to 102,757 and 157,051
Half scale
Find third proportional to 411,028 and 628,204
Double scale
Find third proportional to 205,516 and 314,105
Similar ratio
Find third proportional to 308,271 and 471,153
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.