Home / 306.94-463.13

Finding the Third Proportional to 306.94 and 463.13

Calculator

Solution

The third proportional to 306.94 and 463.13 is: 698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.94 : 463.13 = 463.13 : x
  2. Step 2: Convert to fraction form
    306.94/463.13 = 463.13/x
  3. Step 3: Cross multiply
    306.94x = 463.13 × 463.13
  4. Step 4: Simplify right side
    306.94x = 214,484.77
  5. Step 5: Solve for x
    x = 214,484.77/306.94
  6. Step 6: Final answer
    x = 698.79

Related Problems

Find third proportional to 153.47 and 231.56
Half scale
Find third proportional to 613.88 and 926.25
Double scale
Find third proportional to 309 and 466
Similar ratio
Find third proportional to 460.41 and 694.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.