Home / 590-647

Finding the Third Proportional to 590 and 647

Calculator

Solution

The third proportional to 590 and 647 is: 709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 647 = 647 : x
  2. Step 2: Convert to fraction form
    590/647 = 647/x
  3. Step 3: Cross multiply
    590x = 647 × 647
  4. Step 4: Simplify right side
    590x = 418,609
  5. Step 5: Solve for x
    x = 418,609/590
  6. Step 6: Final answer
    x = 709.51

Related Problems

Find third proportional to 295 and 323.50
Half scale
Find third proportional to 1,180 and 1,294
Double scale
Find third proportional to 592 and 649
Similar ratio
Find third proportional to 885 and 970.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.