Home / 153-261

Finding the Third Proportional to 153 and 261

Calculator

Solution

The third proportional to 153 and 261 is: 445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153 : 261 = 261 : x
  2. Step 2: Convert to fraction form
    153/261 = 261/x
  3. Step 3: Cross multiply
    153x = 261 × 261
  4. Step 4: Simplify right side
    153x = 68,121
  5. Step 5: Solve for x
    x = 68,121/153
  6. Step 6: Final answer
    x = 445.24

Related Problems

Find third proportional to 76.50 and 130.50
Half scale
Find third proportional to 306 and 522
Double scale
Find third proportional to 155 and 264
Similar ratio
Find third proportional to 229.50 and 391.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.