Home / 96,429-209,302

Finding the Third Proportional to 96,429 and 209,302

Calculator

Solution

The third proportional to 96,429 and 209,302 is: 454,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,429 : 209,302 = 209,302 : x
  2. Step 2: Convert to fraction form
    96,429/209,302 = 209,302/x
  3. Step 3: Cross multiply
    96,429x = 209,302 × 209,302
  4. Step 4: Simplify right side
    96,429x = 43,807,327,204
  5. Step 5: Solve for x
    x = 43,807,327,204/96,429
  6. Step 6: Final answer
    x = 454,296.19

Related Problems

Find third proportional to 48,214.50 and 104,651
Half scale
Find third proportional to 192,858 and 418,604
Double scale
Find third proportional to 96,431 and 209,306
Similar ratio
Find third proportional to 144,643.50 and 313,953
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.