Home / 359-459

Finding the Third Proportional to 359 and 459

Calculator

Solution

The third proportional to 359 and 459 is: 586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359 : 459 = 459 : x
  2. Step 2: Convert to fraction form
    359/459 = 459/x
  3. Step 3: Cross multiply
    359x = 459 × 459
  4. Step 4: Simplify right side
    359x = 210,681
  5. Step 5: Solve for x
    x = 210,681/359
  6. Step 6: Final answer
    x = 586.86

Related Problems

Find third proportional to 179.50 and 229.50
Half scale
Find third proportional to 718 and 918
Double scale
Find third proportional to 361 and 462
Similar ratio
Find third proportional to 538.50 and 688.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.