Home / 206,840-319,477

Finding the Third Proportional to 206,840 and 319,477

Calculator

Solution

The third proportional to 206,840 and 319,477 is: 493,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,840 : 319,477 = 319,477 : x
  2. Step 2: Convert to fraction form
    206,840/319,477 = 319,477/x
  3. Step 3: Cross multiply
    206,840x = 319,477 × 319,477
  4. Step 4: Simplify right side
    206,840x = 102,065,553,529
  5. Step 5: Solve for x
    x = 102,065,553,529/206,840
  6. Step 6: Final answer
    x = 493,451.72

Related Problems

Find third proportional to 103,420 and 159,738.50
Half scale
Find third proportional to 413,680 and 638,954
Double scale
Find third proportional to 206,842 and 319,480
Similar ratio
Find third proportional to 310,260 and 479,215.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.