Home / 148,293-319,914

Finding the Third Proportional to 148,293 and 319,914

Calculator

Solution

The third proportional to 148,293 and 319,914 is: 690,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,293 : 319,914 = 319,914 : x
  2. Step 2: Convert to fraction form
    148,293/319,914 = 319,914/x
  3. Step 3: Cross multiply
    148,293x = 319,914 × 319,914
  4. Step 4: Simplify right side
    148,293x = 102,344,967,396
  5. Step 5: Solve for x
    x = 102,344,967,396/148,293
  6. Step 6: Final answer
    x = 690,153.73

Related Problems

Find third proportional to 74,146.50 and 159,957
Half scale
Find third proportional to 296,586 and 639,828
Double scale
Find third proportional to 148,295 and 319,918
Similar ratio
Find third proportional to 222,439.50 and 479,871
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.