Home / 224.50-413

Finding the Third Proportional to 224.50 and 413

Calculator

Solution

The third proportional to 224.50 and 413 is: 759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.50 : 413 = 413 : x
  2. Step 2: Convert to fraction form
    224.50/413 = 413/x
  3. Step 3: Cross multiply
    224.50x = 413 × 413
  4. Step 4: Simplify right side
    224.50x = 170,569
  5. Step 5: Solve for x
    x = 170,569/224.50
  6. Step 6: Final answer
    x = 759.77

Related Problems

Find third proportional to 112.25 and 206.50
Half scale
Find third proportional to 449 and 826
Double scale
Find third proportional to 227 and 417
Similar ratio
Find third proportional to 336.75 and 619.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.