Home / 1,052-1,582

Finding the Third Proportional to 1,052 and 1,582

Calculator

Solution

The third proportional to 1,052 and 1,582 is: 2,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052 : 1,582 = 1,582 : x
  2. Step 2: Convert to fraction form
    1,052/1,582 = 1,582/x
  3. Step 3: Cross multiply
    1,052x = 1,582 × 1,582
  4. Step 4: Simplify right side
    1,052x = 2,502,724
  5. Step 5: Solve for x
    x = 2,502,724/1,052
  6. Step 6: Final answer
    x = 2,379.02

Related Problems

Find third proportional to 526 and 791
Half scale
Find third proportional to 2,104 and 3,164
Double scale
Find third proportional to 1,054 and 1,585
Similar ratio
Find third proportional to 1,578 and 2,373
1.5x scale

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.