Home / 7,174-12,782

Finding the Third Proportional to 7,174 and 12,782

Calculator

Solution

The third proportional to 7,174 and 12,782 is: 22,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174 : 12,782 = 12,782 : x
  2. Step 2: Convert to fraction form
    7,174/12,782 = 12,782/x
  3. Step 3: Cross multiply
    7,174x = 12,782 × 12,782
  4. Step 4: Simplify right side
    7,174x = 163,379,524
  5. Step 5: Solve for x
    x = 163,379,524/7,174
  6. Step 6: Final answer
    x = 22,773.84

Related Problems

Find third proportional to 3,587 and 6,391
Half scale
Find third proportional to 14,348 and 25,564
Double scale
Find third proportional to 7,176 and 12,786
Similar ratio
Find third proportional to 10,761 and 19,173
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.