Home / 8,205-12,718

Finding the Third Proportional to 8,205 and 12,718

Calculator

Solution

The third proportional to 8,205 and 12,718 is: 19,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205 : 12,718 = 12,718 : x
  2. Step 2: Convert to fraction form
    8,205/12,718 = 12,718/x
  3. Step 3: Cross multiply
    8,205x = 12,718 × 12,718
  4. Step 4: Simplify right side
    8,205x = 161,747,524
  5. Step 5: Solve for x
    x = 161,747,524/8,205
  6. Step 6: Final answer
    x = 19,713.29

Related Problems

Find third proportional to 4,102.50 and 6,359
Half scale
Find third proportional to 16,410 and 25,436
Double scale
Find third proportional to 8,207 and 12,721
Similar ratio
Find third proportional to 12,307.50 and 19,077
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.