Home / 426-782

Finding the Third Proportional to 426 and 782

Calculator

Solution

The third proportional to 426 and 782 is: 1,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    426 : 782 = 782 : x
  2. Step 2: Convert to fraction form
    426/782 = 782/x
  3. Step 3: Cross multiply
    426x = 782 × 782
  4. Step 4: Simplify right side
    426x = 611,524
  5. Step 5: Solve for x
    x = 611,524/426
  6. Step 6: Final answer
    x = 1,435.50

Related Problems

Find third proportional to 213 and 391
Half scale
Find third proportional to 852 and 1,564
Double scale
Find third proportional to 428 and 786
Similar ratio
Find third proportional to 639 and 1,173
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.