Home / 102,294-218,805

Finding the Third Proportional to 102,294 and 218,805

Calculator

Solution

The third proportional to 102,294 and 218,805 is: 468,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,294 : 218,805 = 218,805 : x
  2. Step 2: Convert to fraction form
    102,294/218,805 = 218,805/x
  3. Step 3: Cross multiply
    102,294x = 218,805 × 218,805
  4. Step 4: Simplify right side
    102,294x = 47,875,628,025
  5. Step 5: Solve for x
    x = 47,875,628,025/102,294
  6. Step 6: Final answer
    x = 468,019.90

Related Problems

Find third proportional to 51,147 and 109,402.50
Half scale
Find third proportional to 204,588 and 437,610
Double scale
Find third proportional to 102,296 and 218,809
Similar ratio
Find third proportional to 153,441 and 328,207.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.