Home / 102,286-218,786

Finding the Third Proportional to 102,286 and 218,786

Calculator

Solution

The third proportional to 102,286 and 218,786 is: 467,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,286 : 218,786 = 218,786 : x
  2. Step 2: Convert to fraction form
    102,286/218,786 = 218,786/x
  3. Step 3: Cross multiply
    102,286x = 218,786 × 218,786
  4. Step 4: Simplify right side
    102,286x = 47,867,313,796
  5. Step 5: Solve for x
    x = 47,867,313,796/102,286
  6. Step 6: Final answer
    x = 467,975.22

Related Problems

Find third proportional to 51,143 and 109,393
Half scale
Find third proportional to 204,572 and 437,572
Double scale
Find third proportional to 102,288 and 218,790
Similar ratio
Find third proportional to 153,429 and 328,179
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.