Home / 340-382

Finding the Third Proportional to 340 and 382

Calculator

Solution

The third proportional to 340 and 382 is: 429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340 : 382 = 382 : x
  2. Step 2: Convert to fraction form
    340/382 = 382/x
  3. Step 3: Cross multiply
    340x = 382 × 382
  4. Step 4: Simplify right side
    340x = 145,924
  5. Step 5: Solve for x
    x = 145,924/340
  6. Step 6: Final answer
    x = 429.19

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.