Home / 7,654-13,724

Finding the Third Proportional to 7,654 and 13,724

Calculator

Solution

The third proportional to 7,654 and 13,724 is: 24,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654 : 13,724 = 13,724 : x
  2. Step 2: Convert to fraction form
    7,654/13,724 = 13,724/x
  3. Step 3: Cross multiply
    7,654x = 13,724 × 13,724
  4. Step 4: Simplify right side
    7,654x = 188,348,176
  5. Step 5: Solve for x
    x = 188,348,176/7,654
  6. Step 6: Final answer
    x = 24,607.81

Related Problems

Find third proportional to 3,827 and 6,862
Half scale
Find third proportional to 15,308 and 27,448
Double scale
Find third proportional to 7,656 and 13,728
Similar ratio
Find third proportional to 11,481 and 20,586
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.