Home / 146,091-219,136

Finding the Third Proportional to 146,091 and 219,136

Calculator

Solution

The third proportional to 146,091 and 219,136 is: 328,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,091 : 219,136 = 219,136 : x
  2. Step 2: Convert to fraction form
    146,091/219,136 = 219,136/x
  3. Step 3: Cross multiply
    146,091x = 219,136 × 219,136
  4. Step 4: Simplify right side
    146,091x = 48,020,586,496
  5. Step 5: Solve for x
    x = 48,020,586,496/146,091
  6. Step 6: Final answer
    x = 328,703.25

Related Problems

Find third proportional to 73,045.50 and 109,568
Half scale
Find third proportional to 292,182 and 438,272
Double scale
Find third proportional to 146,093 and 219,139
Similar ratio
Find third proportional to 219,136.50 and 328,704
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.