Home / 206,665-292,511

Finding the Third Proportional to 206,665 and 292,511

Calculator

Solution

The third proportional to 206,665 and 292,511 is: 414,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,665 : 292,511 = 292,511 : x
  2. Step 2: Convert to fraction form
    206,665/292,511 = 292,511/x
  3. Step 3: Cross multiply
    206,665x = 292,511 × 292,511
  4. Step 4: Simplify right side
    206,665x = 85,562,685,121
  5. Step 5: Solve for x
    x = 85,562,685,121/206,665
  6. Step 6: Final answer
    x = 414,016.33

Related Problems

Find third proportional to 103,332.50 and 146,255.50
Half scale
Find third proportional to 413,330 and 585,022
Double scale
Find third proportional to 206,667 and 292,514
Similar ratio
Find third proportional to 309,997.50 and 438,766.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.