Home / 13,284-14,412

Finding the Third Proportional to 13,284 and 14,412

Calculator

Solution

The third proportional to 13,284 and 14,412 is: 15,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 14,412 = 14,412 : x
  2. Step 2: Convert to fraction form
    13,284/14,412 = 14,412/x
  3. Step 3: Cross multiply
    13,284x = 14,412 × 14,412
  4. Step 4: Simplify right side
    13,284x = 207,705,744
  5. Step 5: Solve for x
    x = 207,705,744/13,284
  6. Step 6: Final answer
    x = 15,635.78

Related Problems

Find third proportional to 6,642 and 7,206
Half scale
Find third proportional to 26,568 and 28,824
Double scale
Find third proportional to 13,286 and 14,414
Similar ratio
Find third proportional to 19,926 and 21,618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.