Home / 298.13-415.69

Finding the Third Proportional to 298.13 and 415.69

Calculator

Solution

The third proportional to 298.13 and 415.69 is: 579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.13 : 415.69 = 415.69 : x
  2. Step 2: Convert to fraction form
    298.13/415.69 = 415.69/x
  3. Step 3: Cross multiply
    298.13x = 415.69 × 415.69
  4. Step 4: Simplify right side
    298.13x = 172,796.10
  5. Step 5: Solve for x
    x = 172,796.10/298.13
  6. Step 6: Final answer
    x = 579.61

Related Problems

Find third proportional to 149.06 and 207.84
Half scale
Find third proportional to 596.25 and 831.38
Double scale
Find third proportional to 300 and 418
Similar ratio
Find third proportional to 447.19 and 623.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.