Home / 1,052-1,084

Finding the Third Proportional to 1,052 and 1,084

Calculator

Solution

The third proportional to 1,052 and 1,084 is: 1,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052 : 1,084 = 1,084 : x
  2. Step 2: Convert to fraction form
    1,052/1,084 = 1,084/x
  3. Step 3: Cross multiply
    1,052x = 1,084 × 1,084
  4. Step 4: Simplify right side
    1,052x = 1,175,056
  5. Step 5: Solve for x
    x = 1,175,056/1,052
  6. Step 6: Final answer
    x = 1,116.97

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.