Home / 7,140-10,206

Finding the Third Proportional to 7,140 and 10,206

Calculator

Solution

The third proportional to 7,140 and 10,206 is: 14,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 10,206 = 10,206 : x
  2. Step 2: Convert to fraction form
    7,140/10,206 = 10,206/x
  3. Step 3: Cross multiply
    7,140x = 10,206 × 10,206
  4. Step 4: Simplify right side
    7,140x = 104,162,436
  5. Step 5: Solve for x
    x = 104,162,436/7,140
  6. Step 6: Final answer
    x = 14,588.58

Related Problems

Find third proportional to 3,570 and 5,103
Half scale
Find third proportional to 14,280 and 20,412
Double scale
Find third proportional to 7,142 and 10,209
Similar ratio
Find third proportional to 10,710 and 15,309
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.