Home / 109,750-258,814

Finding the Third Proportional to 109,750 and 258,814

Calculator

Solution

The third proportional to 109,750 and 258,814 is: 610,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,750 : 258,814 = 258,814 : x
  2. Step 2: Convert to fraction form
    109,750/258,814 = 258,814/x
  3. Step 3: Cross multiply
    109,750x = 258,814 × 258,814
  4. Step 4: Simplify right side
    109,750x = 66,984,686,596
  5. Step 5: Solve for x
    x = 66,984,686,596/109,750
  6. Step 6: Final answer
    x = 610,338.83

Related Problems

Find third proportional to 54,875 and 129,407
Half scale
Find third proportional to 219,500 and 517,628
Double scale
Find third proportional to 109,752 and 258,819
Similar ratio
Find third proportional to 164,625 and 388,221
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.