Home / 21,012-31,582

Finding the Third Proportional to 21,012 and 31,582

Calculator

Solution

The third proportional to 21,012 and 31,582 is: 47,469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012 : 31,582 = 31,582 : x
  2. Step 2: Convert to fraction form
    21,012/31,582 = 31,582/x
  3. Step 3: Cross multiply
    21,012x = 31,582 × 31,582
  4. Step 4: Simplify right side
    21,012x = 997,422,724
  5. Step 5: Solve for x
    x = 997,422,724/21,012
  6. Step 6: Final answer
    x = 47,469.19

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.