Home / 215.13-463.25

Finding the Third Proportional to 215.13 and 463.25

Calculator

Solution

The third proportional to 215.13 and 463.25 is: 997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.13 : 463.25 = 463.25 : x
  2. Step 2: Convert to fraction form
    215.13/463.25 = 463.25/x
  3. Step 3: Cross multiply
    215.13x = 463.25 × 463.25
  4. Step 4: Simplify right side
    215.13x = 214,600.56
  5. Step 5: Solve for x
    x = 214,600.56/215.13
  6. Step 6: Final answer
    x = 997.56

Related Problems

Find third proportional to 107.56 and 231.63
Half scale
Find third proportional to 430.25 and 926.50
Double scale
Find third proportional to 217 and 468
Similar ratio
Find third proportional to 322.69 and 694.88
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.