Home / 284.77-439.17

Finding the Third Proportional to 284.77 and 439.17

Calculator

Solution

The third proportional to 284.77 and 439.17 is: 677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.77 : 439.17 = 439.17 : x
  2. Step 2: Convert to fraction form
    284.77/439.17 = 439.17/x
  3. Step 3: Cross multiply
    284.77x = 439.17 × 439.17
  4. Step 4: Simplify right side
    284.77x = 192,871.94
  5. Step 5: Solve for x
    x = 192,871.94/284.77
  6. Step 6: Final answer
    x = 677.30

Related Problems

Find third proportional to 142.38 and 219.59
Half scale
Find third proportional to 569.53 and 878.34
Double scale
Find third proportional to 287 and 442
Similar ratio
Find third proportional to 427.15 and 658.76
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.