Home / 262-587

Finding the Third Proportional to 262 and 587

Calculator

Solution

The third proportional to 262 and 587 is: 1,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262 : 587 = 587 : x
  2. Step 2: Convert to fraction form
    262/587 = 587/x
  3. Step 3: Cross multiply
    262x = 587 × 587
  4. Step 4: Simplify right side
    262x = 344,569
  5. Step 5: Solve for x
    x = 344,569/262
  6. Step 6: Final answer
    x = 1,315.15

Related Problems

Find third proportional to 131 and 293.50
Half scale
Find third proportional to 524 and 1,174
Double scale
Find third proportional to 264 and 591
Similar ratio
Find third proportional to 393 and 880.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.