Home / 210.75-259.50

Finding the Third Proportional to 210.75 and 259.50

Calculator

Solution

The third proportional to 210.75 and 259.50 is: 319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.75 : 259.50 = 259.50 : x
  2. Step 2: Convert to fraction form
    210.75/259.50 = 259.50/x
  3. Step 3: Cross multiply
    210.75x = 259.50 × 259.50
  4. Step 4: Simplify right side
    210.75x = 67,340.25
  5. Step 5: Solve for x
    x = 67,340.25/210.75
  6. Step 6: Final answer
    x = 319.53

Related Problems

Find third proportional to 105.38 and 129.75
Half scale
Find third proportional to 421.50 and 519
Double scale
Find third proportional to 213 and 262
Similar ratio
Find third proportional to 316.13 and 389.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.