Home / 370-406.50

Finding the Third Proportional to 370 and 406.50

Calculator

Solution

The third proportional to 370 and 406.50 is: 446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370 : 406.50 = 406.50 : x
  2. Step 2: Convert to fraction form
    370/406.50 = 406.50/x
  3. Step 3: Cross multiply
    370x = 406.50 × 406.50
  4. Step 4: Simplify right side
    370x = 165,242.25
  5. Step 5: Solve for x
    x = 165,242.25/370
  6. Step 6: Final answer
    x = 446.60

Related Problems

Find third proportional to 185 and 203.25
Half scale
Find third proportional to 740 and 813
Double scale
Find third proportional to 372 and 409
Similar ratio
Find third proportional to 555 and 609.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.