Home / 7,730-11,106

Finding the Third Proportional to 7,730 and 11,106

Calculator

Solution

The third proportional to 7,730 and 11,106 is: 15,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730 : 11,106 = 11,106 : x
  2. Step 2: Convert to fraction form
    7,730/11,106 = 11,106/x
  3. Step 3: Cross multiply
    7,730x = 11,106 × 11,106
  4. Step 4: Simplify right side
    7,730x = 123,343,236
  5. Step 5: Solve for x
    x = 123,343,236/7,730
  6. Step 6: Final answer
    x = 15,956.43

Related Problems

Find third proportional to 3,865 and 5,553
Half scale
Find third proportional to 15,460 and 22,212
Double scale
Find third proportional to 7,732 and 11,109
Similar ratio
Find third proportional to 11,595 and 16,659
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.