Home / 305.50-501.50

Finding the Third Proportional to 305.50 and 501.50

Calculator

Solution

The third proportional to 305.50 and 501.50 is: 823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.50 : 501.50 = 501.50 : x
  2. Step 2: Convert to fraction form
    305.50/501.50 = 501.50/x
  3. Step 3: Cross multiply
    305.50x = 501.50 × 501.50
  4. Step 4: Simplify right side
    305.50x = 251,502.25
  5. Step 5: Solve for x
    x = 251,502.25/305.50
  6. Step 6: Final answer
    x = 823.25

Related Problems

Find third proportional to 152.75 and 250.75
Half scale
Find third proportional to 611 and 1,003
Double scale
Find third proportional to 308 and 505
Similar ratio
Find third proportional to 458.25 and 752.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.