Home / 298-503

Finding the Third Proportional to 298 and 503

Calculator

Solution

The third proportional to 298 and 503 is: 849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298 : 503 = 503 : x
  2. Step 2: Convert to fraction form
    298/503 = 503/x
  3. Step 3: Cross multiply
    298x = 503 × 503
  4. Step 4: Simplify right side
    298x = 253,009
  5. Step 5: Solve for x
    x = 253,009/298
  6. Step 6: Final answer
    x = 849.02

Related Problems

Find third proportional to 149 and 251.50
Half scale
Find third proportional to 596 and 1,006
Double scale
Find third proportional to 300 and 506
Similar ratio
Find third proportional to 447 and 754.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.