Home / 605-648

Finding the Third Proportional to 605 and 648

Calculator

Solution

The third proportional to 605 and 648 is: 694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    605 : 648 = 648 : x
  2. Step 2: Convert to fraction form
    605/648 = 648/x
  3. Step 3: Cross multiply
    605x = 648 × 648
  4. Step 4: Simplify right side
    605x = 419,904
  5. Step 5: Solve for x
    x = 419,904/605
  6. Step 6: Final answer
    x = 694.06

Related Problems

Find third proportional to 302.50 and 324
Half scale
Find third proportional to 1,210 and 1,296
Double scale
Find third proportional to 607 and 650
Similar ratio
Find third proportional to 907.50 and 972
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.