Home / 431-493

Finding the Third Proportional to 431 and 493

Calculator

Solution

The third proportional to 431 and 493 is: 563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431 : 493 = 493 : x
  2. Step 2: Convert to fraction form
    431/493 = 493/x
  3. Step 3: Cross multiply
    431x = 493 × 493
  4. Step 4: Simplify right side
    431x = 243,049
  5. Step 5: Solve for x
    x = 243,049/431
  6. Step 6: Final answer
    x = 563.92

Related Problems

Find third proportional to 215.50 and 246.50
Half scale
Find third proportional to 862 and 986
Double scale
Find third proportional to 433 and 495
Similar ratio
Find third proportional to 646.50 and 739.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.