Home / 148,961-319,242

Finding the Third Proportional to 148,961 and 319,242

Calculator

Solution

The third proportional to 148,961 and 319,242 is: 684,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,961 : 319,242 = 319,242 : x
  2. Step 2: Convert to fraction form
    148,961/319,242 = 319,242/x
  3. Step 3: Cross multiply
    148,961x = 319,242 × 319,242
  4. Step 4: Simplify right side
    148,961x = 101,915,454,564
  5. Step 5: Solve for x
    x = 101,915,454,564/148,961
  6. Step 6: Final answer
    x = 684,175.42

Related Problems

Find third proportional to 74,480.50 and 159,621
Half scale
Find third proportional to 297,922 and 638,484
Double scale
Find third proportional to 148,963 and 319,246
Similar ratio
Find third proportional to 223,441.50 and 478,863
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.