Home / 319,824-689,472

Finding the Third Proportional to 319,824 and 689,472

Calculator

Solution

The third proportional to 319,824 and 689,472 is: 1,486,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,824 : 689,472 = 689,472 : x
  2. Step 2: Convert to fraction form
    319,824/689,472 = 689,472/x
  3. Step 3: Cross multiply
    319,824x = 689,472 × 689,472
  4. Step 4: Simplify right side
    319,824x = 475,371,638,784
  5. Step 5: Solve for x
    x = 475,371,638,784/319,824
  6. Step 6: Final answer
    x = 1,486,353.87

Related Problems

Find third proportional to 159,912 and 344,736
Half scale
Find third proportional to 639,648 and 1,378,944
Double scale
Find third proportional to 319,826 and 689,476
Similar ratio
Find third proportional to 479,736 and 1,034,208
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.