Home / 152,824-199,698

Finding the Third Proportional to 152,824 and 199,698

Calculator

Solution

The third proportional to 152,824 and 199,698 is: 260,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,824 : 199,698 = 199,698 : x
  2. Step 2: Convert to fraction form
    152,824/199,698 = 199,698/x
  3. Step 3: Cross multiply
    152,824x = 199,698 × 199,698
  4. Step 4: Simplify right side
    152,824x = 39,879,291,204
  5. Step 5: Solve for x
    x = 39,879,291,204/152,824
  6. Step 6: Final answer
    x = 260,949.14

Related Problems

Find third proportional to 76,412 and 99,849
Half scale
Find third proportional to 305,648 and 399,396
Double scale
Find third proportional to 152,826 and 199,701
Similar ratio
Find third proportional to 229,236 and 299,547
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.