Home / 218,385-463,014

Finding the Third Proportional to 218,385 and 463,014

Calculator

Solution

The third proportional to 218,385 and 463,014 is: 981,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,385 : 463,014 = 463,014 : x
  2. Step 2: Convert to fraction form
    218,385/463,014 = 463,014/x
  3. Step 3: Cross multiply
    218,385x = 463,014 × 463,014
  4. Step 4: Simplify right side
    218,385x = 214,381,964,196
  5. Step 5: Solve for x
    x = 214,381,964,196/218,385
  6. Step 6: Final answer
    x = 981,669.82

Related Problems

Find third proportional to 109,192.50 and 231,507
Half scale
Find third proportional to 436,770 and 926,028
Double scale
Find third proportional to 218,387 and 463,018
Similar ratio
Find third proportional to 327,577.50 and 694,521
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.