Home / 7,738-12,307

Finding the Third Proportional to 7,738 and 12,307

Calculator

Solution

The third proportional to 7,738 and 12,307 is: 19,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738 : 12,307 = 12,307 : x
  2. Step 2: Convert to fraction form
    7,738/12,307 = 12,307/x
  3. Step 3: Cross multiply
    7,738x = 12,307 × 12,307
  4. Step 4: Simplify right side
    7,738x = 151,462,249
  5. Step 5: Solve for x
    x = 151,462,249/7,738
  6. Step 6: Final answer
    x = 19,573.82

Related Problems

Find third proportional to 3,869 and 6,153.50
Half scale
Find third proportional to 15,476 and 24,614
Double scale
Find third proportional to 7,740 and 12,310
Similar ratio
Find third proportional to 11,607 and 18,460.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.