Home / 148,082-319,805

Finding the Third Proportional to 148,082 and 319,805

Calculator

Solution

The third proportional to 148,082 and 319,805 is: 690,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,082 : 319,805 = 319,805 : x
  2. Step 2: Convert to fraction form
    148,082/319,805 = 319,805/x
  3. Step 3: Cross multiply
    148,082x = 319,805 × 319,805
  4. Step 4: Simplify right side
    148,082x = 102,275,238,025
  5. Step 5: Solve for x
    x = 102,275,238,025/148,082
  6. Step 6: Final answer
    x = 690,666.24

Related Problems

Find third proportional to 74,041 and 159,902.50
Half scale
Find third proportional to 296,164 and 639,610
Double scale
Find third proportional to 148,084 and 319,809
Similar ratio
Find third proportional to 222,123 and 479,707.50
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.