Home / 205.50-510

Finding the Third Proportional to 205.50 and 510

Calculator

Solution

The third proportional to 205.50 and 510 is: 1,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 510 = 510 : x
  2. Step 2: Convert to fraction form
    205.50/510 = 510/x
  3. Step 3: Cross multiply
    205.50x = 510 × 510
  4. Step 4: Simplify right side
    205.50x = 260,100
  5. Step 5: Solve for x
    x = 260,100/205.50
  6. Step 6: Final answer
    x = 1,265.69

Related Problems

Find third proportional to 102.75 and 255
Half scale
Find third proportional to 411 and 1,020
Double scale
Find third proportional to 208 and 515
Similar ratio
Find third proportional to 308.25 and 765
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.