Home / 146,196-218,696

Finding the Third Proportional to 146,196 and 218,696

Calculator

Solution

The third proportional to 146,196 and 218,696 is: 327,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,196 : 218,696 = 218,696 : x
  2. Step 2: Convert to fraction form
    146,196/218,696 = 218,696/x
  3. Step 3: Cross multiply
    146,196x = 218,696 × 218,696
  4. Step 4: Simplify right side
    146,196x = 47,827,940,416
  5. Step 5: Solve for x
    x = 47,827,940,416/146,196
  6. Step 6: Final answer
    x = 327,149.45

Related Problems

Find third proportional to 73,098 and 109,348
Half scale
Find third proportional to 292,392 and 437,392
Double scale
Find third proportional to 146,198 and 218,699
Similar ratio
Find third proportional to 219,294 and 328,044
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.