Home / 102,332-209,734

Finding the Third Proportional to 102,332 and 209,734

Calculator

Solution

The third proportional to 102,332 and 209,734 is: 429,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,332 : 209,734 = 209,734 : x
  2. Step 2: Convert to fraction form
    102,332/209,734 = 209,734/x
  3. Step 3: Cross multiply
    102,332x = 209,734 × 209,734
  4. Step 4: Simplify right side
    102,332x = 43,988,350,756
  5. Step 5: Solve for x
    x = 43,988,350,756/102,332
  6. Step 6: Final answer
    x = 429,859.19

Related Problems

Find third proportional to 51,166 and 104,867
Half scale
Find third proportional to 204,664 and 419,468
Double scale
Find third proportional to 102,334 and 209,738
Similar ratio
Find third proportional to 153,498 and 314,601
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.