Home / 465-517

Finding the Third Proportional to 465 and 517

Calculator

Solution

The third proportional to 465 and 517 is: 574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465 : 517 = 517 : x
  2. Step 2: Convert to fraction form
    465/517 = 517/x
  3. Step 3: Cross multiply
    465x = 517 × 517
  4. Step 4: Simplify right side
    465x = 267,289
  5. Step 5: Solve for x
    x = 267,289/465
  6. Step 6: Final answer
    x = 574.82

Related Problems

Find third proportional to 232.50 and 258.50
Half scale
Find third proportional to 930 and 1,034
Double scale
Find third proportional to 467 and 519
Similar ratio
Find third proportional to 697.50 and 775.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.