Home / 13,140-19,221

Finding the Third Proportional to 13,140 and 19,221

Calculator

Solution

The third proportional to 13,140 and 19,221 is: 28,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140 : 19,221 = 19,221 : x
  2. Step 2: Convert to fraction form
    13,140/19,221 = 19,221/x
  3. Step 3: Cross multiply
    13,140x = 19,221 × 19,221
  4. Step 4: Simplify right side
    13,140x = 369,446,841
  5. Step 5: Solve for x
    x = 369,446,841/13,140
  6. Step 6: Final answer
    x = 28,116.20

Related Problems

Find third proportional to 6,570 and 9,610.50
Half scale
Find third proportional to 26,280 and 38,442
Double scale
Find third proportional to 13,142 and 19,224
Similar ratio
Find third proportional to 19,710 and 28,831.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.