Home / 595-659

Finding the Third Proportional to 595 and 659

Calculator

Solution

The third proportional to 595 and 659 is: 729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    595 : 659 = 659 : x
  2. Step 2: Convert to fraction form
    595/659 = 659/x
  3. Step 3: Cross multiply
    595x = 659 × 659
  4. Step 4: Simplify right side
    595x = 434,281
  5. Step 5: Solve for x
    x = 434,281/595
  6. Step 6: Final answer
    x = 729.88

Related Problems

Find third proportional to 297.50 and 329.50
Half scale
Find third proportional to 1,190 and 1,318
Double scale
Find third proportional to 597 and 661
Similar ratio
Find third proportional to 892.50 and 988.50
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.