Home / 13,698-19,523

Finding the Third Proportional to 13,698 and 19,523

Calculator

Solution

The third proportional to 13,698 and 19,523 is: 27,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698 : 19,523 = 19,523 : x
  2. Step 2: Convert to fraction form
    13,698/19,523 = 19,523/x
  3. Step 3: Cross multiply
    13,698x = 19,523 × 19,523
  4. Step 4: Simplify right side
    13,698x = 381,147,529
  5. Step 5: Solve for x
    x = 381,147,529/13,698
  6. Step 6: Final answer
    x = 27,825.05

Related Problems

Find third proportional to 6,849 and 9,761.50
Half scale
Find third proportional to 27,396 and 39,046
Double scale
Find third proportional to 13,700 and 19,526
Similar ratio
Find third proportional to 20,547 and 29,284.50
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.