Home / 12,748-19,689

Finding the Third Proportional to 12,748 and 19,689

Calculator

Solution

The third proportional to 12,748 and 19,689 is: 30,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748 : 19,689 = 19,689 : x
  2. Step 2: Convert to fraction form
    12,748/19,689 = 19,689/x
  3. Step 3: Cross multiply
    12,748x = 19,689 × 19,689
  4. Step 4: Simplify right side
    12,748x = 387,656,721
  5. Step 5: Solve for x
    x = 387,656,721/12,748
  6. Step 6: Final answer
    x = 30,409.22

Related Problems

Find third proportional to 6,374 and 9,844.50
Half scale
Find third proportional to 25,496 and 39,378
Double scale
Find third proportional to 12,750 and 19,692
Similar ratio
Find third proportional to 19,122 and 29,533.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.