Home / 109.50-258

Finding the Third Proportional to 109.50 and 258

Calculator

Solution

The third proportional to 109.50 and 258 is: 607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 258 = 258 : x
  2. Step 2: Convert to fraction form
    109.50/258 = 258/x
  3. Step 3: Cross multiply
    109.50x = 258 × 258
  4. Step 4: Simplify right side
    109.50x = 66,564
  5. Step 5: Solve for x
    x = 66,564/109.50
  6. Step 6: Final answer
    x = 607.89

Related Problems

Find third proportional to 54.75 and 129
Half scale
Find third proportional to 219 and 516
Double scale
Find third proportional to 112 and 263
Similar ratio
Find third proportional to 164.25 and 387
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.