Home / 597-644

Finding the Third Proportional to 597 and 644

Calculator

Solution

The third proportional to 597 and 644 is: 694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597 : 644 = 644 : x
  2. Step 2: Convert to fraction form
    597/644 = 644/x
  3. Step 3: Cross multiply
    597x = 644 × 644
  4. Step 4: Simplify right side
    597x = 414,736
  5. Step 5: Solve for x
    x = 414,736/597
  6. Step 6: Final answer
    x = 694.70

Related Problems

Find third proportional to 298.50 and 322
Half scale
Find third proportional to 1,194 and 1,288
Double scale
Find third proportional to 599 and 646
Similar ratio
Find third proportional to 895.50 and 966
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.