Home / 13,700-19,374

Finding the Third Proportional to 13,700 and 19,374

Calculator

Solution

The third proportional to 13,700 and 19,374 is: 27,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700 : 19,374 = 19,374 : x
  2. Step 2: Convert to fraction form
    13,700/19,374 = 19,374/x
  3. Step 3: Cross multiply
    13,700x = 19,374 × 19,374
  4. Step 4: Simplify right side
    13,700x = 375,351,876
  5. Step 5: Solve for x
    x = 375,351,876/13,700
  6. Step 6: Final answer
    x = 27,397.95

Related Problems

Find third proportional to 6,850 and 9,687
Half scale
Find third proportional to 27,400 and 38,748
Double scale
Find third proportional to 13,702 and 19,377
Similar ratio
Find third proportional to 20,550 and 29,061
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.