Home / 294-502

Finding the Third Proportional to 294 and 502

Calculator

Solution

The third proportional to 294 and 502 is: 857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294 : 502 = 502 : x
  2. Step 2: Convert to fraction form
    294/502 = 502/x
  3. Step 3: Cross multiply
    294x = 502 × 502
  4. Step 4: Simplify right side
    294x = 252,004
  5. Step 5: Solve for x
    x = 252,004/294
  6. Step 6: Final answer
    x = 857.16

Related Problems

Find third proportional to 147 and 251
Half scale
Find third proportional to 588 and 1,004
Double scale
Find third proportional to 296 and 505
Similar ratio
Find third proportional to 441 and 753
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.