Home / 10,270-11,746

Finding the Third Proportional to 10,270 and 11,746

Calculator

Solution

The third proportional to 10,270 and 11,746 is: 13,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270 : 11,746 = 11,746 : x
  2. Step 2: Convert to fraction form
    10,270/11,746 = 11,746/x
  3. Step 3: Cross multiply
    10,270x = 11,746 × 11,746
  4. Step 4: Simplify right side
    10,270x = 137,968,516
  5. Step 5: Solve for x
    x = 137,968,516/10,270
  6. Step 6: Final answer
    x = 13,434.13

Related Problems

Find third proportional to 5,135 and 5,873
Half scale
Find third proportional to 20,540 and 23,492
Double scale
Find third proportional to 10,272 and 11,748
Similar ratio
Find third proportional to 15,405 and 17,619
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.