Home / 252-542.50

Finding the Third Proportional to 252 and 542.50

Calculator

Solution

The third proportional to 252 and 542.50 is: 1,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252 : 542.50 = 542.50 : x
  2. Step 2: Convert to fraction form
    252/542.50 = 542.50/x
  3. Step 3: Cross multiply
    252x = 542.50 × 542.50
  4. Step 4: Simplify right side
    252x = 294,306.25
  5. Step 5: Solve for x
    x = 294,306.25/252
  6. Step 6: Final answer
    x = 1,167.88

Related Problems

Find third proportional to 126 and 271.25
Half scale
Find third proportional to 504 and 1,085
Double scale
Find third proportional to 254 and 547
Similar ratio
Find third proportional to 378 and 813.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.