Home / 21,214-45,919

Finding the Third Proportional to 21,214 and 45,919

Calculator

Solution

The third proportional to 21,214 and 45,919 is: 99,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214 : 45,919 = 45,919 : x
  2. Step 2: Convert to fraction form
    21,214/45,919 = 45,919/x
  3. Step 3: Cross multiply
    21,214x = 45,919 × 45,919
  4. Step 4: Simplify right side
    21,214x = 2,108,554,561
  5. Step 5: Solve for x
    x = 2,108,554,561/21,214
  6. Step 6: Final answer
    x = 99,394.48

Related Problems

Find third proportional to 10,607 and 22,959.50
Half scale
Find third proportional to 42,428 and 91,838
Double scale
Find third proportional to 21,216 and 45,923
Similar ratio
Find third proportional to 31,821 and 68,878.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.