Home / 778.50-1,582

Finding the Third Proportional to 778.50 and 1,582

Calculator

Solution

The third proportional to 778.50 and 1,582 is: 3,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.50 : 1,582 = 1,582 : x
  2. Step 2: Convert to fraction form
    778.50/1,582 = 1,582/x
  3. Step 3: Cross multiply
    778.50x = 1,582 × 1,582
  4. Step 4: Simplify right side
    778.50x = 2,502,724
  5. Step 5: Solve for x
    x = 2,502,724/778.50
  6. Step 6: Final answer
    x = 3,214.80

Related Problems

Find third proportional to 389.25 and 791
Half scale
Find third proportional to 1,557 and 3,164
Double scale
Find third proportional to 781 and 1,586
Similar ratio
Find third proportional to 1,167.75 and 2,373
1.5x scale

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.