Home / 269,986-429,091

Finding the Third Proportional to 269,986 and 429,091

Calculator

Solution

The third proportional to 269,986 and 429,091 is: 681,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,986 : 429,091 = 429,091 : x
  2. Step 2: Convert to fraction form
    269,986/429,091 = 429,091/x
  3. Step 3: Cross multiply
    269,986x = 429,091 × 429,091
  4. Step 4: Simplify right side
    269,986x = 184,119,086,281
  5. Step 5: Solve for x
    x = 184,119,086,281/269,986
  6. Step 6: Final answer
    x = 681,957.90

Related Problems

Find third proportional to 134,993 and 214,545.50
Half scale
Find third proportional to 539,972 and 858,182
Double scale
Find third proportional to 269,988 and 429,094
Similar ratio
Find third proportional to 404,979 and 643,636.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.