Home / 10,011-11,415

Finding the Third Proportional to 10,011 and 11,415

Calculator

Solution

The third proportional to 10,011 and 11,415 is: 13,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011 : 11,415 = 11,415 : x
  2. Step 2: Convert to fraction form
    10,011/11,415 = 11,415/x
  3. Step 3: Cross multiply
    10,011x = 11,415 × 11,415
  4. Step 4: Simplify right side
    10,011x = 130,302,225
  5. Step 5: Solve for x
    x = 130,302,225/10,011
  6. Step 6: Final answer
    x = 13,015.91

Related Problems

Find third proportional to 5,005.50 and 5,707.50
Half scale
Find third proportional to 20,022 and 22,830
Double scale
Find third proportional to 10,013 and 11,417
Similar ratio
Find third proportional to 15,016.50 and 17,122.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.