Home / 13,784-29,902

Finding the Third Proportional to 13,784 and 29,902

Calculator

Solution

The third proportional to 13,784 and 29,902 is: 64,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784 : 29,902 = 29,902 : x
  2. Step 2: Convert to fraction form
    13,784/29,902 = 29,902/x
  3. Step 3: Cross multiply
    13,784x = 29,902 × 29,902
  4. Step 4: Simplify right side
    13,784x = 894,129,604
  5. Step 5: Solve for x
    x = 894,129,604/13,784
  6. Step 6: Final answer
    x = 64,867.21

Related Problems

Find third proportional to 6,892 and 14,951
Half scale
Find third proportional to 27,568 and 59,804
Double scale
Find third proportional to 13,786 and 29,906
Similar ratio
Find third proportional to 20,676 and 44,853
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.