Home / 647-704

Finding the Third Proportional to 647 and 704

Calculator

Solution

The third proportional to 647 and 704 is: 766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647 : 704 = 704 : x
  2. Step 2: Convert to fraction form
    647/704 = 704/x
  3. Step 3: Cross multiply
    647x = 704 × 704
  4. Step 4: Simplify right side
    647x = 495,616
  5. Step 5: Solve for x
    x = 495,616/647
  6. Step 6: Final answer
    x = 766.02

Related Problems

Find third proportional to 323.50 and 352
Half scale
Find third proportional to 1,294 and 1,408
Double scale
Find third proportional to 649 and 706
Similar ratio
Find third proportional to 970.50 and 1,056
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.