Home / 213.50-415.75

Finding the Third Proportional to 213.50 and 415.75

Calculator

Solution

The third proportional to 213.50 and 415.75 is: 809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.50 : 415.75 = 415.75 : x
  2. Step 2: Convert to fraction form
    213.50/415.75 = 415.75/x
  3. Step 3: Cross multiply
    213.50x = 415.75 × 415.75
  4. Step 4: Simplify right side
    213.50x = 172,848.06
  5. Step 5: Solve for x
    x = 172,848.06/213.50
  6. Step 6: Final answer
    x = 809.59

Related Problems

Find third proportional to 106.75 and 207.88
Half scale
Find third proportional to 427 and 831.50
Double scale
Find third proportional to 216 and 420
Similar ratio
Find third proportional to 320.25 and 623.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.