Home / 258-561

Finding the Third Proportional to 258 and 561

Calculator

Solution

The third proportional to 258 and 561 is: 1,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258 : 561 = 561 : x
  2. Step 2: Convert to fraction form
    258/561 = 561/x
  3. Step 3: Cross multiply
    258x = 561 × 561
  4. Step 4: Simplify right side
    258x = 314,721
  5. Step 5: Solve for x
    x = 314,721/258
  6. Step 6: Final answer
    x = 1,219.85

Related Problems

Find third proportional to 129 and 280.50
Half scale
Find third proportional to 516 and 1,122
Double scale
Find third proportional to 260 and 565
Similar ratio
Find third proportional to 387 and 841.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.