Home / 319,872-689,314

Finding the Third Proportional to 319,872 and 689,314

Calculator

Solution

The third proportional to 319,872 and 689,314 is: 1,485,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,872 : 689,314 = 689,314 : x
  2. Step 2: Convert to fraction form
    319,872/689,314 = 689,314/x
  3. Step 3: Cross multiply
    319,872x = 689,314 × 689,314
  4. Step 4: Simplify right side
    319,872x = 475,153,790,596
  5. Step 5: Solve for x
    x = 475,153,790,596/319,872
  6. Step 6: Final answer
    x = 1,485,449.78

Related Problems

Find third proportional to 159,936 and 344,657
Half scale
Find third proportional to 639,744 and 1,378,628
Double scale
Find third proportional to 319,874 and 689,318
Similar ratio
Find third proportional to 479,808 and 1,033,971
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.