Home / 295-413

Finding the Third Proportional to 295 and 413

Calculator

Solution

The third proportional to 295 and 413 is: 578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295 : 413 = 413 : x
  2. Step 2: Convert to fraction form
    295/413 = 413/x
  3. Step 3: Cross multiply
    295x = 413 × 413
  4. Step 4: Simplify right side
    295x = 170,569
  5. Step 5: Solve for x
    x = 170,569/295
  6. Step 6: Final answer
    x = 578.20

Related Problems

Find third proportional to 147.50 and 206.50
Half scale
Find third proportional to 590 and 826
Double scale
Find third proportional to 297 and 416
Similar ratio
Find third proportional to 442.50 and 619.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.