Home / 8,470-12,814

Finding the Third Proportional to 8,470 and 12,814

Calculator

Solution

The third proportional to 8,470 and 12,814 is: 19,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470 : 12,814 = 12,814 : x
  2. Step 2: Convert to fraction form
    8,470/12,814 = 12,814/x
  3. Step 3: Cross multiply
    8,470x = 12,814 × 12,814
  4. Step 4: Simplify right side
    8,470x = 164,198,596
  5. Step 5: Solve for x
    x = 164,198,596/8,470
  6. Step 6: Final answer
    x = 19,385.90

Related Problems

Find third proportional to 4,235 and 6,407
Half scale
Find third proportional to 16,940 and 25,628
Double scale
Find third proportional to 8,472 and 12,817
Similar ratio
Find third proportional to 12,705 and 19,221
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.