Home / 178.25-409

Finding the Third Proportional to 178.25 and 409

Calculator

Solution

The third proportional to 178.25 and 409 is: 938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.25 : 409 = 409 : x
  2. Step 2: Convert to fraction form
    178.25/409 = 409/x
  3. Step 3: Cross multiply
    178.25x = 409 × 409
  4. Step 4: Simplify right side
    178.25x = 167,281
  5. Step 5: Solve for x
    x = 167,281/178.25
  6. Step 6: Final answer
    x = 938.46

Related Problems

Find third proportional to 89.13 and 204.50
Half scale
Find third proportional to 356.50 and 818
Double scale
Find third proportional to 180 and 414
Similar ratio
Find third proportional to 267.38 and 613.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.