Home / 12,384-18,346

Finding the Third Proportional to 12,384 and 18,346

Calculator

Solution

The third proportional to 12,384 and 18,346 is: 27,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384 : 18,346 = 18,346 : x
  2. Step 2: Convert to fraction form
    12,384/18,346 = 18,346/x
  3. Step 3: Cross multiply
    12,384x = 18,346 × 18,346
  4. Step 4: Simplify right side
    12,384x = 336,575,716
  5. Step 5: Solve for x
    x = 336,575,716/12,384
  6. Step 6: Final answer
    x = 27,178.27

Related Problems

Find third proportional to 6,192 and 9,173
Half scale
Find third proportional to 24,768 and 36,692
Double scale
Find third proportional to 12,386 and 18,349
Similar ratio
Find third proportional to 18,576 and 27,519
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.