Home / 272-413

Finding the Third Proportional to 272 and 413

Calculator

Solution

The third proportional to 272 and 413 is: 627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272 : 413 = 413 : x
  2. Step 2: Convert to fraction form
    272/413 = 413/x
  3. Step 3: Cross multiply
    272x = 413 × 413
  4. Step 4: Simplify right side
    272x = 170,569
  5. Step 5: Solve for x
    x = 170,569/272
  6. Step 6: Final answer
    x = 627.09

Related Problems

Find third proportional to 136 and 206.50
Half scale
Find third proportional to 544 and 826
Double scale
Find third proportional to 274 and 416
Similar ratio
Find third proportional to 408 and 619.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.