Home / 292.25-409.75

Finding the Third Proportional to 292.25 and 409.75

Calculator

Solution

The third proportional to 292.25 and 409.75 is: 574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.25 : 409.75 = 409.75 : x
  2. Step 2: Convert to fraction form
    292.25/409.75 = 409.75/x
  3. Step 3: Cross multiply
    292.25x = 409.75 × 409.75
  4. Step 4: Simplify right side
    292.25x = 167,895.06
  5. Step 5: Solve for x
    x = 167,895.06/292.25
  6. Step 6: Final answer
    x = 574.49

Related Problems

Find third proportional to 146.13 and 204.88
Half scale
Find third proportional to 584.50 and 819.50
Double scale
Find third proportional to 294 and 413
Similar ratio
Find third proportional to 438.38 and 614.63
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.