Home / 459-477

Finding the Third Proportional to 459 and 477

Calculator

Solution

The third proportional to 459 and 477 is: 495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    459 : 477 = 477 : x
  2. Step 2: Convert to fraction form
    459/477 = 477/x
  3. Step 3: Cross multiply
    459x = 477 × 477
  4. Step 4: Simplify right side
    459x = 227,529
  5. Step 5: Solve for x
    x = 227,529/459
  6. Step 6: Final answer
    x = 495.71

Related Problems

Find third proportional to 229.50 and 238.50
Half scale
Find third proportional to 918 and 954
Double scale
Find third proportional to 461 and 479
Similar ratio
Find third proportional to 688.50 and 715.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.