Home / 302.66-465.42

Finding the Third Proportional to 302.66 and 465.42

Calculator

Solution

The third proportional to 302.66 and 465.42 is: 715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.66 : 465.42 = 465.42 : x
  2. Step 2: Convert to fraction form
    302.66/465.42 = 465.42/x
  3. Step 3: Cross multiply
    302.66x = 465.42 × 465.42
  4. Step 4: Simplify right side
    302.66x = 216,617.52
  5. Step 5: Solve for x
    x = 216,617.52/302.66
  6. Step 6: Final answer
    x = 715.72

Related Problems

Find third proportional to 151.33 and 232.71
Half scale
Find third proportional to 605.31 and 930.84
Double scale
Find third proportional to 305 and 468
Similar ratio
Find third proportional to 453.98 and 698.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.