Home / 8,013-10,854

Finding the Third Proportional to 8,013 and 10,854

Calculator

Solution

The third proportional to 8,013 and 10,854 is: 14,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013 : 10,854 = 10,854 : x
  2. Step 2: Convert to fraction form
    8,013/10,854 = 10,854/x
  3. Step 3: Cross multiply
    8,013x = 10,854 × 10,854
  4. Step 4: Simplify right side
    8,013x = 117,809,316
  5. Step 5: Solve for x
    x = 117,809,316/8,013
  6. Step 6: Final answer
    x = 14,702.27

Related Problems

Find third proportional to 4,006.50 and 5,427
Half scale
Find third proportional to 16,026 and 21,708
Double scale
Find third proportional to 8,015 and 10,857
Similar ratio
Find third proportional to 12,019.50 and 16,281
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.