Home / 8,070-10,509

Finding the Third Proportional to 8,070 and 10,509

Calculator

Solution

The third proportional to 8,070 and 10,509 is: 13,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070 : 10,509 = 10,509 : x
  2. Step 2: Convert to fraction form
    8,070/10,509 = 10,509/x
  3. Step 3: Cross multiply
    8,070x = 10,509 × 10,509
  4. Step 4: Simplify right side
    8,070x = 110,439,081
  5. Step 5: Solve for x
    x = 110,439,081/8,070
  6. Step 6: Final answer
    x = 13,685.14

Related Problems

Find third proportional to 4,035 and 5,254.50
Half scale
Find third proportional to 16,140 and 21,018
Double scale
Find third proportional to 8,072 and 10,512
Similar ratio
Find third proportional to 12,105 and 15,763.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.