Home / 109,659-239,136

Finding the Third Proportional to 109,659 and 239,136

Calculator

Solution

The third proportional to 109,659 and 239,136 is: 521,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,659 : 239,136 = 239,136 : x
  2. Step 2: Convert to fraction form
    109,659/239,136 = 239,136/x
  3. Step 3: Cross multiply
    109,659x = 239,136 × 239,136
  4. Step 4: Simplify right side
    109,659x = 57,186,026,496
  5. Step 5: Solve for x
    x = 57,186,026,496/109,659
  6. Step 6: Final answer
    x = 521,489.59

Related Problems

Find third proportional to 54,829.50 and 119,568
Half scale
Find third proportional to 219,318 and 478,272
Double scale
Find third proportional to 109,661 and 239,140
Similar ratio
Find third proportional to 164,488.50 and 358,704
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.