Home / 582-645

Finding the Third Proportional to 582 and 645

Calculator

Solution

The third proportional to 582 and 645 is: 714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 645 = 645 : x
  2. Step 2: Convert to fraction form
    582/645 = 645/x
  3. Step 3: Cross multiply
    582x = 645 × 645
  4. Step 4: Simplify right side
    582x = 416,025
  5. Step 5: Solve for x
    x = 416,025/582
  6. Step 6: Final answer
    x = 714.82

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.