Home / 96,599-209,749

Finding the Third Proportional to 96,599 and 209,749

Calculator

Solution

The third proportional to 96,599 and 209,749 is: 455,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,599 : 209,749 = 209,749 : x
  2. Step 2: Convert to fraction form
    96,599/209,749 = 209,749/x
  3. Step 3: Cross multiply
    96,599x = 209,749 × 209,749
  4. Step 4: Simplify right side
    96,599x = 43,994,643,001
  5. Step 5: Solve for x
    x = 43,994,643,001/96,599
  6. Step 6: Final answer
    x = 455,435.80

Related Problems

Find third proportional to 48,299.50 and 104,874.50
Half scale
Find third proportional to 193,198 and 419,498
Double scale
Find third proportional to 96,601 and 209,753
Similar ratio
Find third proportional to 144,898.50 and 314,623.50
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.