Home / 612-1,648

Finding the Third Proportional to 612 and 1,648

Calculator

Solution

The third proportional to 612 and 1,648 is: 4,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    612 : 1,648 = 1,648 : x
  2. Step 2: Convert to fraction form
    612/1,648 = 1,648/x
  3. Step 3: Cross multiply
    612x = 1,648 × 1,648
  4. Step 4: Simplify right side
    612x = 2,715,904
  5. Step 5: Solve for x
    x = 2,715,904/612
  6. Step 6: Final answer
    x = 4,437.75

Related Problems

Find third proportional to 306 and 824
Half scale
Find third proportional to 1,224 and 3,296
Double scale
Find third proportional to 614 and 1,653
Similar ratio
Find third proportional to 918 and 2,472
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.