Home / 219.38-469.13

Finding the Third Proportional to 219.38 and 469.13

Calculator

Solution

The third proportional to 219.38 and 469.13 is: 1,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.38 : 469.13 = 469.13 : x
  2. Step 2: Convert to fraction form
    219.38/469.13 = 469.13/x
  3. Step 3: Cross multiply
    219.38x = 469.13 × 469.13
  4. Step 4: Simplify right side
    219.38x = 220,078.27
  5. Step 5: Solve for x
    x = 220,078.27/219.38
  6. Step 6: Final answer
    x = 1,003.21

Related Problems

Find third proportional to 109.69 and 234.56
Half scale
Find third proportional to 438.75 and 938.25
Double scale
Find third proportional to 221 and 473
Similar ratio
Find third proportional to 329.06 and 703.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.