Home / 164,900-353,122

Finding the Third Proportional to 164,900 and 353,122

Calculator

Solution

The third proportional to 164,900 and 353,122 is: 756,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,900 : 353,122 = 353,122 : x
  2. Step 2: Convert to fraction form
    164,900/353,122 = 353,122/x
  3. Step 3: Cross multiply
    164,900x = 353,122 × 353,122
  4. Step 4: Simplify right side
    164,900x = 124,695,146,884
  5. Step 5: Solve for x
    x = 124,695,146,884/164,900
  6. Step 6: Final answer
    x = 756,186.46

Related Problems

Find third proportional to 82,450 and 176,561
Half scale
Find third proportional to 329,800 and 706,244
Double scale
Find third proportional to 164,902 and 353,126
Similar ratio
Find third proportional to 247,350 and 529,683
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.