Home / 19,654-40,214

Finding the Third Proportional to 19,654 and 40,214

Calculator

Solution

The third proportional to 19,654 and 40,214 is: 82,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654 : 40,214 = 40,214 : x
  2. Step 2: Convert to fraction form
    19,654/40,214 = 40,214/x
  3. Step 3: Cross multiply
    19,654x = 40,214 × 40,214
  4. Step 4: Simplify right side
    19,654x = 1,617,165,796
  5. Step 5: Solve for x
    x = 1,617,165,796/19,654
  6. Step 6: Final answer
    x = 82,281.76

Related Problems

Find third proportional to 9,827 and 20,107
Half scale
Find third proportional to 39,308 and 80,428
Double scale
Find third proportional to 19,656 and 40,218
Similar ratio
Find third proportional to 29,481 and 60,321
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.