Home / 249.50-463.75

Finding the Third Proportional to 249.50 and 463.75

Calculator

Solution

The third proportional to 249.50 and 463.75 is: 861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.50 : 463.75 = 463.75 : x
  2. Step 2: Convert to fraction form
    249.50/463.75 = 463.75/x
  3. Step 3: Cross multiply
    249.50x = 463.75 × 463.75
  4. Step 4: Simplify right side
    249.50x = 215,064.06
  5. Step 5: Solve for x
    x = 215,064.06/249.50
  6. Step 6: Final answer
    x = 861.98

Related Problems

Find third proportional to 124.75 and 231.88
Half scale
Find third proportional to 499 and 927.50
Double scale
Find third proportional to 252 and 467
Similar ratio
Find third proportional to 374.25 and 695.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.