Home / 206,667-292,514

Finding the Third Proportional to 206,667 and 292,514

Calculator

Solution

The third proportional to 206,667 and 292,514 is: 414,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,667 : 292,514 = 292,514 : x
  2. Step 2: Convert to fraction form
    206,667/292,514 = 292,514/x
  3. Step 3: Cross multiply
    206,667x = 292,514 × 292,514
  4. Step 4: Simplify right side
    206,667x = 85,564,440,196
  5. Step 5: Solve for x
    x = 85,564,440,196/206,667
  6. Step 6: Final answer
    x = 414,020.82

Related Problems

Find third proportional to 103,333.50 and 146,257
Half scale
Find third proportional to 413,334 and 585,028
Double scale
Find third proportional to 206,669 and 292,517
Similar ratio
Find third proportional to 310,000.50 and 438,771
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.