Home / 417-587

Finding the Third Proportional to 417 and 587

Calculator

Solution

The third proportional to 417 and 587 is: 826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417 : 587 = 587 : x
  2. Step 2: Convert to fraction form
    417/587 = 587/x
  3. Step 3: Cross multiply
    417x = 587 × 587
  4. Step 4: Simplify right side
    417x = 344,569
  5. Step 5: Solve for x
    x = 344,569/417
  6. Step 6: Final answer
    x = 826.30

Related Problems

Find third proportional to 208.50 and 293.50
Half scale
Find third proportional to 834 and 1,174
Double scale
Find third proportional to 419 and 590
Similar ratio
Find third proportional to 625.50 and 880.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.