Home / 782-1,587

Finding the Third Proportional to 782 and 1,587

Calculator

Solution

The third proportional to 782 and 1,587 is: 3,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    782 : 1,587 = 1,587 : x
  2. Step 2: Convert to fraction form
    782/1,587 = 1,587/x
  3. Step 3: Cross multiply
    782x = 1,587 × 1,587
  4. Step 4: Simplify right side
    782x = 2,518,569
  5. Step 5: Solve for x
    x = 2,518,569/782
  6. Step 6: Final answer
    x = 3,220.68

Related Problems

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.