Home / 265-402

Finding the Third Proportional to 265 and 402

Calculator

Solution

The third proportional to 265 and 402 is: 609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265 : 402 = 402 : x
  2. Step 2: Convert to fraction form
    265/402 = 402/x
  3. Step 3: Cross multiply
    265x = 402 × 402
  4. Step 4: Simplify right side
    265x = 161,604
  5. Step 5: Solve for x
    x = 161,604/265
  6. Step 6: Final answer
    x = 609.83

Related Problems

Find third proportional to 132.50 and 201
Half scale
Find third proportional to 530 and 804
Double scale
Find third proportional to 267 and 405
Similar ratio
Find third proportional to 397.50 and 603
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.