Home / 290-410.75

Finding the Third Proportional to 290 and 410.75

Calculator

Solution

The third proportional to 290 and 410.75 is: 581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290 : 410.75 = 410.75 : x
  2. Step 2: Convert to fraction form
    290/410.75 = 410.75/x
  3. Step 3: Cross multiply
    290x = 410.75 × 410.75
  4. Step 4: Simplify right side
    290x = 168,715.56
  5. Step 5: Solve for x
    x = 168,715.56/290
  6. Step 6: Final answer
    x = 581.78

Related Problems

Find third proportional to 145 and 205.38
Half scale
Find third proportional to 580 and 821.50
Double scale
Find third proportional to 292 and 414
Similar ratio
Find third proportional to 435 and 616.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.