Home / 292.50-408

Finding the Third Proportional to 292.50 and 408

Calculator

Solution

The third proportional to 292.50 and 408 is: 569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.50 : 408 = 408 : x
  2. Step 2: Convert to fraction form
    292.50/408 = 408/x
  3. Step 3: Cross multiply
    292.50x = 408 × 408
  4. Step 4: Simplify right side
    292.50x = 166,464
  5. Step 5: Solve for x
    x = 166,464/292.50
  6. Step 6: Final answer
    x = 569.11

Related Problems

Find third proportional to 146.25 and 204
Half scale
Find third proportional to 585 and 816
Double scale
Find third proportional to 295 and 411
Similar ratio
Find third proportional to 438.75 and 612
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.