Home / 106,114-229,724

Finding the Third Proportional to 106,114 and 229,724

Calculator

Solution

The third proportional to 106,114 and 229,724 is: 497,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114 : 229,724 = 229,724 : x
  2. Step 2: Convert to fraction form
    106,114/229,724 = 229,724/x
  3. Step 3: Cross multiply
    106,114x = 229,724 × 229,724
  4. Step 4: Simplify right side
    106,114x = 52,773,116,176
  5. Step 5: Solve for x
    x = 52,773,116,176/106,114
  6. Step 6: Final answer
    x = 497,324.73

Related Problems

Find third proportional to 53,057 and 114,862
Half scale
Find third proportional to 212,228 and 459,448
Double scale
Find third proportional to 106,116 and 229,728
Similar ratio
Find third proportional to 159,171 and 344,586
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.