Home / 271.50-402

Finding the Third Proportional to 271.50 and 402

Calculator

Solution

The third proportional to 271.50 and 402 is: 595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.50 : 402 = 402 : x
  2. Step 2: Convert to fraction form
    271.50/402 = 402/x
  3. Step 3: Cross multiply
    271.50x = 402 × 402
  4. Step 4: Simplify right side
    271.50x = 161,604
  5. Step 5: Solve for x
    x = 161,604/271.50
  6. Step 6: Final answer
    x = 595.23

Related Problems

Find third proportional to 135.75 and 201
Half scale
Find third proportional to 543 and 804
Double scale
Find third proportional to 274 and 405
Similar ratio
Find third proportional to 407.25 and 603
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.