Home / 13,588-14,644

Finding the Third Proportional to 13,588 and 14,644

Calculator

Solution

The third proportional to 13,588 and 14,644 is: 15,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588 : 14,644 = 14,644 : x
  2. Step 2: Convert to fraction form
    13,588/14,644 = 14,644/x
  3. Step 3: Cross multiply
    13,588x = 14,644 × 14,644
  4. Step 4: Simplify right side
    13,588x = 214,446,736
  5. Step 5: Solve for x
    x = 214,446,736/13,588
  6. Step 6: Final answer
    x = 15,782.07

Related Problems

Find third proportional to 6,794 and 7,322
Half scale
Find third proportional to 27,176 and 29,288
Double scale
Find third proportional to 13,590 and 14,646
Similar ratio
Find third proportional to 20,382 and 21,966
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.