Home / 253.50-311.50

Finding the Third Proportional to 253.50 and 311.50

Calculator

Solution

The third proportional to 253.50 and 311.50 is: 382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.50 : 311.50 = 311.50 : x
  2. Step 2: Convert to fraction form
    253.50/311.50 = 311.50/x
  3. Step 3: Cross multiply
    253.50x = 311.50 × 311.50
  4. Step 4: Simplify right side
    253.50x = 97,032.25
  5. Step 5: Solve for x
    x = 97,032.25/253.50
  6. Step 6: Final answer
    x = 382.77

Related Problems

Find third proportional to 126.75 and 155.75
Half scale
Find third proportional to 507 and 623
Double scale
Find third proportional to 256 and 314
Similar ratio
Find third proportional to 380.25 and 467.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.