Home / 557-644

Finding the Third Proportional to 557 and 644

Calculator

Solution

The third proportional to 557 and 644 is: 744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557 : 644 = 644 : x
  2. Step 2: Convert to fraction form
    557/644 = 644/x
  3. Step 3: Cross multiply
    557x = 644 × 644
  4. Step 4: Simplify right side
    557x = 414,736
  5. Step 5: Solve for x
    x = 414,736/557
  6. Step 6: Final answer
    x = 744.59

Related Problems

Find third proportional to 278.50 and 322
Half scale
Find third proportional to 1,114 and 1,288
Double scale
Find third proportional to 559 and 646
Similar ratio
Find third proportional to 835.50 and 966
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.