Home / 147,948-209,343

Finding the Third Proportional to 147,948 and 209,343

Calculator

Solution

The third proportional to 147,948 and 209,343 is: 296,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,948 : 209,343 = 209,343 : x
  2. Step 2: Convert to fraction form
    147,948/209,343 = 209,343/x
  3. Step 3: Cross multiply
    147,948x = 209,343 × 209,343
  4. Step 4: Simplify right side
    147,948x = 43,824,491,649
  5. Step 5: Solve for x
    x = 43,824,491,649/147,948
  6. Step 6: Final answer
    x = 296,215.51

Related Problems

Find third proportional to 73,974 and 104,671.50
Half scale
Find third proportional to 295,896 and 418,686
Double scale
Find third proportional to 147,950 and 209,346
Similar ratio
Find third proportional to 221,922 and 314,014.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.